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Finding the Third Proportional to 9,571,347 and 14,711,785

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Solution

The third proportional to 9,571,347 and 14,711,785 is: 22,612,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571,347 : 14,711,785 = 14,711,785 : x
  2. Step 2: Convert to fraction form
    9,571,347/14,711,785 = 14,711,785/x
  3. Step 3: Cross multiply
    9,571,347x = 14,711,785 × 14,711,785
  4. Step 4: Simplify right side
    9,571,347x = 216,436,617,886,225
  5. Step 5: Solve for x
    x = 216,436,617,886,225/9,571,347
  6. Step 6: Final answer
    x = 22,612,973.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.