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Finding the Third Proportional to 36,580,527 and 53,497,553

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Solution

The third proportional to 36,580,527 and 53,497,553 is: 78,238,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,580,527 : 53,497,553 = 53,497,553 : x
  2. Step 2: Convert to fraction form
    36,580,527/53,497,553 = 53,497,553/x
  3. Step 3: Cross multiply
    36,580,527x = 53,497,553 × 53,497,553
  4. Step 4: Simplify right side
    36,580,527x = 2,861,988,176,987,809
  5. Step 5: Solve for x
    x = 2,861,988,176,987,809/36,580,527
  6. Step 6: Final answer
    x = 78,238,024.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.