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Finding the Third Proportional to 52,497,400 and 82,186,828

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Solution

The third proportional to 52,497,400 and 82,186,828 is: 128,666,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,497,400 : 82,186,828 = 82,186,828 : x
  2. Step 2: Convert to fraction form
    52,497,400/82,186,828 = 82,186,828/x
  3. Step 3: Cross multiply
    52,497,400x = 82,186,828 × 82,186,828
  4. Step 4: Simplify right side
    52,497,400x = 6,754,674,696,701,584
  5. Step 5: Solve for x
    x = 6,754,674,696,701,584/52,497,400
  6. Step 6: Final answer
    x = 128,666,842.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.