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Finding the Third Proportional to 10,096,743 and 15,663,678

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Solution

The third proportional to 10,096,743 and 15,663,678 is: 24,299,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096,743 : 15,663,678 = 15,663,678 : x
  2. Step 2: Convert to fraction form
    10,096,743/15,663,678 = 15,663,678/x
  3. Step 3: Cross multiply
    10,096,743x = 15,663,678 × 15,663,678
  4. Step 4: Simplify right side
    10,096,743x = 245,350,808,487,684
  5. Step 5: Solve for x
    x = 245,350,808,487,684/10,096,743
  6. Step 6: Final answer
    x = 24,299,995.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.