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Finding the Third Proportional to 4,498,321.50 and 9,713,421

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Solution

The third proportional to 4,498,321.50 and 9,713,421 is: 20,974,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498,321.50 : 9,713,421 = 9,713,421 : x
  2. Step 2: Convert to fraction form
    4,498,321.50/9,713,421 = 9,713,421/x
  3. Step 3: Cross multiply
    4,498,321.50x = 9,713,421 × 9,713,421
  4. Step 4: Simplify right side
    4,498,321.50x = 94,350,547,523,241
  5. Step 5: Solve for x
    x = 94,350,547,523,241/4,498,321.50
  6. Step 6: Final answer
    x = 20,974,611.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.