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Finding the Third Proportional to 10,642,376 and 23,344,906

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Solution

The third proportional to 10,642,376 and 23,344,906 is: 51,208,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642,376 : 23,344,906 = 23,344,906 : x
  2. Step 2: Convert to fraction form
    10,642,376/23,344,906 = 23,344,906/x
  3. Step 3: Cross multiply
    10,642,376x = 23,344,906 × 23,344,906
  4. Step 4: Simplify right side
    10,642,376x = 544,984,636,148,836
  5. Step 5: Solve for x
    x = 544,984,636,148,836/10,642,376
  6. Step 6: Final answer
    x = 51,208,925.16

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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.