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Finding the Third Proportional to 1,241,223,552 and 2,700,369,747

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Solution

The third proportional to 1,241,223,552 and 2,700,369,747 is: 5,874,845,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,223,552 : 2,700,369,747 = 2,700,369,747 : x
  2. Step 2: Convert to fraction form
    1,241,223,552/2,700,369,747 = 2,700,369,747/x
  3. Step 3: Cross multiply
    1,241,223,552x = 2,700,369,747 × 2,700,369,747
  4. Step 4: Simplify right side
    1,241,223,552x = 7,291,996,770,512,843,776
  5. Step 5: Solve for x
    x = 7,291,996,770,512,843,776/1,241,223,552
  6. Step 6: Final answer
    x = 5,874,845,638.21

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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.