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Finding the Third Proportional to 10,096,762 and 15,663,708.50

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Solution

The third proportional to 10,096,762 and 15,663,708.50 is: 24,300,044.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096,762 : 15,663,708.50 = 15,663,708.50 : x
  2. Step 2: Convert to fraction form
    10,096,762/15,663,708.50 = 15,663,708.50/x
  3. Step 3: Cross multiply
    10,096,762x = 15,663,708.50 × 15,663,708.50
  4. Step 4: Simplify right side
    10,096,762x = 245,351,763,972,972.25
  5. Step 5: Solve for x
    x = 245,351,763,972,972.25/10,096,762
  6. Step 6: Final answer
    x = 24,300,044.31

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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.