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Finding the Third Proportional to 56,127,957.75 and 83,963,071.13

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Solution

The third proportional to 56,127,957.75 and 83,963,071.13 is: 125,602,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,127,957.75 : 83,963,071.13 = 83,963,071.13 : x
  2. Step 2: Convert to fraction form
    56,127,957.75/83,963,071.13 = 83,963,071.13/x
  3. Step 3: Cross multiply
    56,127,957.75x = 83,963,071.13 × 83,963,071.13
  4. Step 4: Simplify right side
    56,127,957.75x = 7,049,797,312,741,809
  5. Step 5: Solve for x
    x = 7,049,797,312,741,809/56,127,957.75
  6. Step 6: Final answer
    x = 125,602,241.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.