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Finding the Third Proportional to 22,712,041,826 and 49,423,392,772

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Solution

The third proportional to 22,712,041,826 and 49,423,392,772 is: 107,549,632,560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712,041,826 : 49,423,392,772 = 49,423,392,772 : x
  2. Step 2: Convert to fraction form
    22,712,041,826/49,423,392,772 = 49,423,392,772/x
  3. Step 3: Cross multiply
    22,712,041,826x = 49,423,392,772 × 49,423,392,772
  4. Step 4: Simplify right side
    22,712,041,826x = 2,442,671,753,095,381,778,432
  5. Step 5: Solve for x
    x = 2,442,671,753,095,381,778,432/22,712,041,826
  6. Step 6: Final answer
    x = 107,549,632,560.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.