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Finding the Third Proportional to 10,443,261 and 15,965,057

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Solution

The third proportional to 10,443,261 and 15,965,057 is: 24,406,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443,261 : 15,965,057 = 15,965,057 : x
  2. Step 2: Convert to fraction form
    10,443,261/15,965,057 = 15,965,057/x
  3. Step 3: Cross multiply
    10,443,261x = 15,965,057 × 15,965,057
  4. Step 4: Simplify right side
    10,443,261x = 254,883,045,013,249
  5. Step 5: Solve for x
    x = 254,883,045,013,249/10,443,261
  6. Step 6: Final answer
    x = 24,406,461.26

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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.