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Finding the Third Proportional to 67,043,523 and 102,514,632

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Solution

The third proportional to 67,043,523 and 102,514,632 is: 156,752,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,043,523 : 102,514,632 = 102,514,632 : x
  2. Step 2: Convert to fraction form
    67,043,523/102,514,632 = 102,514,632/x
  3. Step 3: Cross multiply
    67,043,523x = 102,514,632 × 102,514,632
  4. Step 4: Simplify right side
    67,043,523x = 10,509,249,774,095,424
  5. Step 5: Solve for x
    x = 10,509,249,774,095,424/67,043,523
  6. Step 6: Final answer
    x = 156,752,648.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.