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Finding the Third Proportional to 35,584,957.50 and 77,695,921.50

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Solution

The third proportional to 35,584,957.50 and 77,695,921.50 is: 169,640,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,584,957.50 : 77,695,921.50 = 77,695,921.50 : x
  2. Step 2: Convert to fraction form
    35,584,957.50/77,695,921.50 = 77,695,921.50/x
  3. Step 3: Cross multiply
    35,584,957.50x = 77,695,921.50 × 77,695,921.50
  4. Step 4: Simplify right side
    35,584,957.50x = 6,036,656,217,734,162
  5. Step 5: Solve for x
    x = 6,036,656,217,734,162/35,584,957.50
  6. Step 6: Final answer
    x = 169,640,675.21

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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.