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Finding the Third Proportional to 4,585,498.59 and 9,889,200.14

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Solution

The third proportional to 4,585,498.59 and 9,889,200.14 is: 21,327,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585,498.59 : 9,889,200.14 = 9,889,200.14 : x
  2. Step 2: Convert to fraction form
    4,585,498.59/9,889,200.14 = 9,889,200.14/x
  3. Step 3: Cross multiply
    4,585,498.59x = 9,889,200.14 × 9,889,200.14
  4. Step 4: Simplify right side
    4,585,498.59x = 97,796,279,421,337.52
  5. Step 5: Solve for x
    x = 97,796,279,421,337.52/4,585,498.59
  6. Step 6: Final answer
    x = 21,327,294.61

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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.