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Finding the Third Proportional to 10,096,776 and 15,663,729

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Solution

The third proportional to 10,096,776 and 15,663,729 is: 24,300,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096,776 : 15,663,729 = 15,663,729 : x
  2. Step 2: Convert to fraction form
    10,096,776/15,663,729 = 15,663,729/x
  3. Step 3: Cross multiply
    10,096,776x = 15,663,729 × 15,663,729
  4. Step 4: Simplify right side
    10,096,776x = 245,352,406,185,441
  5. Step 5: Solve for x
    x = 245,352,406,185,441/10,096,776
  6. Step 6: Final answer
    x = 24,300,074.22

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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.