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Finding the Third Proportional to 1,031,631,929 and 2,265,930,748

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Solution

The third proportional to 1,031,631,929 and 2,265,930,748 is: 4,977,009,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,631,929 : 2,265,930,748 = 2,265,930,748 : x
  2. Step 2: Convert to fraction form
    1,031,631,929/2,265,930,748 = 2,265,930,748/x
  3. Step 3: Cross multiply
    1,031,631,929x = 2,265,930,748 × 2,265,930,748
  4. Step 4: Simplify right side
    1,031,631,929x = 5,134,442,154,731,839,488
  5. Step 5: Solve for x
    x = 5,134,442,154,731,839,488/1,031,631,929
  6. Step 6: Final answer
    x = 4,977,009,736.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.