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Finding the Third Proportional to 10,596,680 and 22,887,188

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Solution

The third proportional to 10,596,680 and 22,887,188 is: 49,432,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596,680 : 22,887,188 = 22,887,188 : x
  2. Step 2: Convert to fraction form
    10,596,680/22,887,188 = 22,887,188/x
  3. Step 3: Cross multiply
    10,596,680x = 22,887,188 × 22,887,188
  4. Step 4: Simplify right side
    10,596,680x = 523,823,374,547,344
  5. Step 5: Solve for x
    x = 523,823,374,547,344/10,596,680
  6. Step 6: Final answer
    x = 49,432,782.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.