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Finding the Third Proportional to 53,397,562 and 82,719,835

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Solution

The third proportional to 53,397,562 and 82,719,835 is: 128,143,886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,397,562 : 82,719,835 = 82,719,835 : x
  2. Step 2: Convert to fraction form
    53,397,562/82,719,835 = 82,719,835/x
  3. Step 3: Cross multiply
    53,397,562x = 82,719,835 × 82,719,835
  4. Step 4: Simplify right side
    53,397,562x = 6,842,571,102,427,225
  5. Step 5: Solve for x
    x = 6,842,571,102,427,225/53,397,562
  6. Step 6: Final answer
    x = 128,143,886.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.