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Finding the Third Proportional to 877,523,012,903.25 and 1,779,719,977,686.30

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Solution

The third proportional to 877,523,012,903.25 and 1,779,719,977,686.30 is: 3,609,481,634,557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,523,012,903.25 : 1,779,719,977,686.30 = 1,779,719,977,686.30 : x
  2. Step 2: Convert to fraction form
    877,523,012,903.25/1,779,719,977,686.30 = 1,779,719,977,686.30/x
  3. Step 3: Cross multiply
    877,523,012,903.25x = 1,779,719,977,686.30 × 1,779,719,977,686.30
  4. Step 4: Simplify right side
    877,523,012,903.25x = 3,167,403,198,975,724,474,073,088
  5. Step 5: Solve for x
    x = 3,167,403,198,975,724,474,073,088/877,523,012,903.25
  6. Step 6: Final answer
    x = 3,609,481,634,557.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.