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Finding the Third Proportional to 36,026,310 and 53,086,569

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Solution

The third proportional to 36,026,310 and 53,086,569 is: 78,225,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,026,310 : 53,086,569 = 53,086,569 : x
  2. Step 2: Convert to fraction form
    36,026,310/53,086,569 = 53,086,569/x
  3. Step 3: Cross multiply
    36,026,310x = 53,086,569 × 53,086,569
  4. Step 4: Simplify right side
    36,026,310x = 2,818,183,808,191,761
  5. Step 5: Solve for x
    x = 2,818,183,808,191,761/36,026,310
  6. Step 6: Final answer
    x = 78,225,713.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.