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Finding the Third Proportional to 4,386,460 and 9,781,486

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Solution

The third proportional to 4,386,460 and 9,781,486 is: 21,812,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386,460 : 9,781,486 = 9,781,486 : x
  2. Step 2: Convert to fraction form
    4,386,460/9,781,486 = 9,781,486/x
  3. Step 3: Cross multiply
    4,386,460x = 9,781,486 × 9,781,486
  4. Step 4: Simplify right side
    4,386,460x = 95,677,468,368,196
  5. Step 5: Solve for x
    x = 95,677,468,368,196/4,386,460
  6. Step 6: Final answer
    x = 21,812,000.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.