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Finding the Third Proportional to 9,843,728 and 15,406,748

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Solution

The third proportional to 9,843,728 and 15,406,748 is: 24,113,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,728 : 15,406,748 = 15,406,748 : x
  2. Step 2: Convert to fraction form
    9,843,728/15,406,748 = 15,406,748/x
  3. Step 3: Cross multiply
    9,843,728x = 15,406,748 × 15,406,748
  4. Step 4: Simplify right side
    9,843,728x = 237,367,883,935,504
  5. Step 5: Solve for x
    x = 237,367,883,935,504/9,843,728
  6. Step 6: Final answer
    x = 24,113,616.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.