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Finding the Third Proportional to 35,584,342 and 77,693,593

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Solution

The third proportional to 35,584,342 and 77,693,593 is: 169,633,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,584,342 : 77,693,593 = 77,693,593 : x
  2. Step 2: Convert to fraction form
    35,584,342/77,693,593 = 77,693,593/x
  3. Step 3: Cross multiply
    35,584,342x = 77,693,593 × 77,693,593
  4. Step 4: Simplify right side
    35,584,342x = 6,036,294,393,249,649
  5. Step 5: Solve for x
    x = 6,036,294,393,249,649/35,584,342
  6. Step 6: Final answer
    x = 169,633,441.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.