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Finding the Third Proportional to 61,431,924 and 132,716,040

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Solution

The third proportional to 61,431,924 and 132,716,040 is: 286,716,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,431,924 : 132,716,040 = 132,716,040 : x
  2. Step 2: Convert to fraction form
    61,431,924/132,716,040 = 132,716,040/x
  3. Step 3: Cross multiply
    61,431,924x = 132,716,040 × 132,716,040
  4. Step 4: Simplify right side
    61,431,924x = 17,613,547,273,281,600
  5. Step 5: Solve for x
    x = 17,613,547,273,281,600/61,431,924
  6. Step 6: Final answer
    x = 286,716,516.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.