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Finding the Third Proportional to 10,642,519 and 23,345,165

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Solution

The third proportional to 10,642,519 and 23,345,165 is: 51,209,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642,519 : 23,345,165 = 23,345,165 : x
  2. Step 2: Convert to fraction form
    10,642,519/23,345,165 = 23,345,165/x
  3. Step 3: Cross multiply
    10,642,519x = 23,345,165 × 23,345,165
  4. Step 4: Simplify right side
    10,642,519x = 544,996,728,877,225
  5. Step 5: Solve for x
    x = 544,996,728,877,225/10,642,519
  6. Step 6: Final answer
    x = 51,209,373.35

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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.