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Finding the Third Proportional to 9,718,160 and 15,086,580

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Solution

The third proportional to 9,718,160 and 15,086,580 is: 23,420,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718,160 : 15,086,580 = 15,086,580 : x
  2. Step 2: Convert to fraction form
    9,718,160/15,086,580 = 15,086,580/x
  3. Step 3: Cross multiply
    9,718,160x = 15,086,580 × 15,086,580
  4. Step 4: Simplify right side
    9,718,160x = 227,604,896,096,400
  5. Step 5: Solve for x
    x = 227,604,896,096,400/9,718,160
  6. Step 6: Final answer
    x = 23,420,575.10

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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.