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Finding the Third Proportional to 1,026,762,246.50 and 2,241,676,531

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Solution

The third proportional to 1,026,762,246.50 and 2,241,676,531 is: 4,894,135,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,762,246.50 : 2,241,676,531 = 2,241,676,531 : x
  2. Step 2: Convert to fraction form
    1,026,762,246.50/2,241,676,531 = 2,241,676,531/x
  3. Step 3: Cross multiply
    1,026,762,246.50x = 2,241,676,531 × 2,241,676,531
  4. Step 4: Simplify right side
    1,026,762,246.50x = 5,025,113,669,636,194,304
  5. Step 5: Solve for x
    x = 5,025,113,669,636,194,304/1,026,762,246.50
  6. Step 6: Final answer
    x = 4,894,135,606.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.