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Finding the Third Proportional to 463,709,304 and 1,000,057,898.25

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Solution

The third proportional to 463,709,304 and 1,000,057,898.25 is: 2,156,773,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,709,304 : 1,000,057,898.25 = 1,000,057,898.25 : x
  2. Step 2: Convert to fraction form
    463,709,304/1,000,057,898.25 = 1,000,057,898.25/x
  3. Step 3: Cross multiply
    463,709,304x = 1,000,057,898.25 × 1,000,057,898.25
  4. Step 4: Simplify right side
    463,709,304x = 1,000,115,799,852,207,360
  5. Step 5: Solve for x
    x = 1,000,115,799,852,207,360/463,709,304
  6. Step 6: Final answer
    x = 2,156,773,200.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.