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Finding the Third Proportional to 9,947,304 and 15,817,746

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Solution

The third proportional to 9,947,304 and 15,817,746 is: 25,152,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947,304 : 15,817,746 = 15,817,746 : x
  2. Step 2: Convert to fraction form
    9,947,304/15,817,746 = 15,817,746/x
  3. Step 3: Cross multiply
    9,947,304x = 15,817,746 × 15,817,746
  4. Step 4: Simplify right side
    9,947,304x = 250,201,088,520,516
  5. Step 5: Solve for x
    x = 250,201,088,520,516/9,947,304
  6. Step 6: Final answer
    x = 25,152,653.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.