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Finding the Third Proportional to 32,829,786 and 50,357,382

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Solution

The third proportional to 32,829,786 and 50,357,382 is: 77,242,840.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,829,786 : 50,357,382 = 50,357,382 : x
  2. Step 2: Convert to fraction form
    32,829,786/50,357,382 = 50,357,382/x
  3. Step 3: Cross multiply
    32,829,786x = 50,357,382 × 50,357,382
  4. Step 4: Simplify right side
    32,829,786x = 2,535,865,921,893,924
  5. Step 5: Solve for x
    x = 2,535,865,921,893,924/32,829,786
  6. Step 6: Final answer
    x = 77,242,840.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.