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Finding the Third Proportional to 30,370,499 and 48,906,506

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Solution

The third proportional to 30,370,499 and 48,906,506 is: 78,755,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,370,499 : 48,906,506 = 48,906,506 : x
  2. Step 2: Convert to fraction form
    30,370,499/48,906,506 = 48,906,506/x
  3. Step 3: Cross multiply
    30,370,499x = 48,906,506 × 48,906,506
  4. Step 4: Simplify right side
    30,370,499x = 2,391,846,329,128,036
  5. Step 5: Solve for x
    x = 2,391,846,329,128,036/30,370,499
  6. Step 6: Final answer
    x = 78,755,582.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.