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Finding the Third Proportional to 31,059,840 and 48,043,392

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Solution

The third proportional to 31,059,840 and 48,043,392 is: 74,313,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059,840 : 48,043,392 = 48,043,392 : x
  2. Step 2: Convert to fraction form
    31,059,840/48,043,392 = 48,043,392/x
  3. Step 3: Cross multiply
    31,059,840x = 48,043,392 × 48,043,392
  4. Step 4: Simplify right side
    31,059,840x = 2,308,167,514,865,664
  5. Step 5: Solve for x
    x = 2,308,167,514,865,664/31,059,840
  6. Step 6: Final answer
    x = 74,313,567.45

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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.