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Finding the Third Proportional to 55,365,026 and 121,156,711

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Solution

The third proportional to 55,365,026 and 121,156,711 is: 265,130,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,365,026 : 121,156,711 = 121,156,711 : x
  2. Step 2: Convert to fraction form
    55,365,026/121,156,711 = 121,156,711/x
  3. Step 3: Cross multiply
    55,365,026x = 121,156,711 × 121,156,711
  4. Step 4: Simplify right side
    55,365,026x = 14,678,948,620,337,520
  5. Step 5: Solve for x
    x = 14,678,948,620,337,520/55,365,026
  6. Step 6: Final answer
    x = 265,130,348.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.