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Finding the Third Proportional to 31,039,412.25 and 65,860,876.50

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Solution

The third proportional to 31,039,412.25 and 65,860,876.50 is: 139,746,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,039,412.25 : 65,860,876.50 = 65,860,876.50 : x
  2. Step 2: Convert to fraction form
    31,039,412.25/65,860,876.50 = 65,860,876.50/x
  3. Step 3: Cross multiply
    31,039,412.25x = 65,860,876.50 × 65,860,876.50
  4. Step 4: Simplify right side
    31,039,412.25x = 4,337,655,053,348,252
  5. Step 5: Solve for x
    x = 4,337,655,053,348,252/31,039,412.25
  6. Step 6: Final answer
    x = 139,746,687.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.