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Finding the Third Proportional to 1,687,877,969,044.50 and 3,620,779,004,463.60

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Solution

The third proportional to 1,687,877,969,044.50 and 3,620,779,004,463.60 is: 7,767,173,243,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,877,969,044.50 : 3,620,779,004,463.60 = 3,620,779,004,463.60 : x
  2. Step 2: Convert to fraction form
    1,687,877,969,044.50/3,620,779,004,463.60 = 3,620,779,004,463.60/x
  3. Step 3: Cross multiply
    1,687,877,969,044.50x = 3,620,779,004,463.60 × 3,620,779,004,463.60
  4. Step 4: Simplify right side
    1,687,877,969,044.50x = 13,110,040,599,164,419,773,038,592
  5. Step 5: Solve for x
    x = 13,110,040,599,164,419,773,038,592/1,687,877,969,044.50
  6. Step 6: Final answer
    x = 7,767,173,243,327.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.