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Finding the Third Proportional to 10,081,650,734 and 14,564,990,234

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Solution

The third proportional to 10,081,650,734 and 14,564,990,234 is: 21,042,083,892.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081,650,734 : 14,564,990,234 = 14,564,990,234 : x
  2. Step 2: Convert to fraction form
    10,081,650,734/14,564,990,234 = 14,564,990,234/x
  3. Step 3: Cross multiply
    10,081,650,734x = 14,564,990,234 × 14,564,990,234
  4. Step 4: Simplify right side
    10,081,650,734x = 212,138,940,516,515,381,248
  5. Step 5: Solve for x
    x = 212,138,940,516,515,381,248/10,081,650,734
  6. Step 6: Final answer
    x = 21,042,083,892.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.