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Finding the Third Proportional to 10,443,365 and 15,965,213

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Solution

The third proportional to 10,443,365 and 15,965,213 is: 24,406,695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443,365 : 15,965,213 = 15,965,213 : x
  2. Step 2: Convert to fraction form
    10,443,365/15,965,213 = 15,965,213/x
  3. Step 3: Cross multiply
    10,443,365x = 15,965,213 × 15,965,213
  4. Step 4: Simplify right side
    10,443,365x = 254,888,026,135,369
  5. Step 5: Solve for x
    x = 254,888,026,135,369/10,443,365
  6. Step 6: Final answer
    x = 24,406,695.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.