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Finding the Third Proportional to 39,527,569 and 85,653,043

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Solution

The third proportional to 39,527,569 and 85,653,043 is: 185,603,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,527,569 : 85,653,043 = 85,653,043 : x
  2. Step 2: Convert to fraction form
    39,527,569/85,653,043 = 85,653,043/x
  3. Step 3: Cross multiply
    39,527,569x = 85,653,043 × 85,653,043
  4. Step 4: Simplify right side
    39,527,569x = 7,336,443,775,159,849
  5. Step 5: Solve for x
    x = 7,336,443,775,159,849/39,527,569
  6. Step 6: Final answer
    x = 185,603,212.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.