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Finding the Third Proportional to 14,571,888.47 and 31,413,703.78

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Solution

The third proportional to 14,571,888.47 and 31,413,703.78 is: 67,720,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571,888.47 : 31,413,703.78 = 31,413,703.78 : x
  2. Step 2: Convert to fraction form
    14,571,888.47/31,413,703.78 = 31,413,703.78/x
  3. Step 3: Cross multiply
    14,571,888.47x = 31,413,703.78 × 31,413,703.78
  4. Step 4: Simplify right side
    14,571,888.47x = 986,820,785,256,120.50
  5. Step 5: Solve for x
    x = 986,820,785,256,120.50/14,571,888.47
  6. Step 6: Final answer
    x = 67,720,857.69

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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.