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Finding the Third Proportional to 10,348,796 and 22,509,654

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Solution

The third proportional to 10,348,796 and 22,509,654 is: 48,960,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348,796 : 22,509,654 = 22,509,654 : x
  2. Step 2: Convert to fraction form
    10,348,796/22,509,654 = 22,509,654/x
  3. Step 3: Cross multiply
    10,348,796x = 22,509,654 × 22,509,654
  4. Step 4: Simplify right side
    10,348,796x = 506,684,523,199,716
  5. Step 5: Solve for x
    x = 506,684,523,199,716/10,348,796
  6. Step 6: Final answer
    x = 48,960,721.92

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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.