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Finding the Third Proportional to 32,032,664 and 49,641,537

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Solution

The third proportional to 32,032,664 and 49,641,537 is: 76,930,292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032,664 : 49,641,537 = 49,641,537 : x
  2. Step 2: Convert to fraction form
    32,032,664/49,641,537 = 49,641,537/x
  3. Step 3: Cross multiply
    32,032,664x = 49,641,537 × 49,641,537
  4. Step 4: Simplify right side
    32,032,664x = 2,464,282,195,722,369
  5. Step 5: Solve for x
    x = 2,464,282,195,722,369/32,032,664
  6. Step 6: Final answer
    x = 76,930,292.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.