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Finding the Third Proportional to 62,128,304.75 and 97,248,613.25

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Solution

The third proportional to 62,128,304.75 and 97,248,613.25 is: 152,221,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,128,304.75 : 97,248,613.25 = 97,248,613.25 : x
  2. Step 2: Convert to fraction form
    62,128,304.75/97,248,613.25 = 97,248,613.25/x
  3. Step 3: Cross multiply
    62,128,304.75x = 97,248,613.25 × 97,248,613.25
  4. Step 4: Simplify right side
    62,128,304.75x = 9,457,292,779,048,076
  5. Step 5: Solve for x
    x = 9,457,292,779,048,076/62,128,304.75
  6. Step 6: Final answer
    x = 152,221,967.38

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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.