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Finding the Third Proportional to 1,877,431,635 and 3,909,368,009.25

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Solution

The third proportional to 1,877,431,635 and 3,909,368,009.25 is: 8,140,460,588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877,431,635 : 3,909,368,009.25 = 3,909,368,009.25 : x
  2. Step 2: Convert to fraction form
    1,877,431,635/3,909,368,009.25 = 3,909,368,009.25/x
  3. Step 3: Cross multiply
    1,877,431,635x = 3,909,368,009.25 × 3,909,368,009.25
  4. Step 4: Simplify right side
    1,877,431,635x = 15,283,158,231,747,307,520
  5. Step 5: Solve for x
    x = 15,283,158,231,747,307,520/1,877,431,635
  6. Step 6: Final answer
    x = 8,140,460,588.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.