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Finding the Third Proportional to 9,717,988 and 14,498,070

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Solution

The third proportional to 9,717,988 and 14,498,070 is: 21,629,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717,988 : 14,498,070 = 14,498,070 : x
  2. Step 2: Convert to fraction form
    9,717,988/14,498,070 = 14,498,070/x
  3. Step 3: Cross multiply
    9,717,988x = 14,498,070 × 14,498,070
  4. Step 4: Simplify right side
    9,717,988x = 210,194,033,724,900
  5. Step 5: Solve for x
    x = 210,194,033,724,900/9,717,988
  6. Step 6: Final answer
    x = 21,629,377.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.