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Finding the Third Proportional to 2,071,440,872 and 4,436,709,566

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Solution

The third proportional to 2,071,440,872 and 4,436,709,566 is: 9,502,753,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,440,872 : 4,436,709,566 = 4,436,709,566 : x
  2. Step 2: Convert to fraction form
    2,071,440,872/4,436,709,566 = 4,436,709,566/x
  3. Step 3: Cross multiply
    2,071,440,872x = 4,436,709,566 × 4,436,709,566
  4. Step 4: Simplify right side
    2,071,440,872x = 19,684,391,773,035,909,120
  5. Step 5: Solve for x
    x = 19,684,391,773,035,909,120/2,071,440,872
  6. Step 6: Final answer
    x = 9,502,753,392.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.