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Finding the Third Proportional to 32,323,181,562 and 75,521,536,937

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Solution

The third proportional to 32,323,181,562 and 75,521,536,937 is: 176,452,386,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,323,181,562 : 75,521,536,937 = 75,521,536,937 : x
  2. Step 2: Convert to fraction form
    32,323,181,562/75,521,536,937 = 75,521,536,937/x
  3. Step 3: Cross multiply
    32,323,181,562x = 75,521,536,937 × 75,521,536,937
  4. Step 4: Simplify right side
    32,323,181,562x = 5,703,502,541,326,655,684,608
  5. Step 5: Solve for x
    x = 5,703,502,541,326,655,684,608/32,323,181,562
  6. Step 6: Final answer
    x = 176,452,386,977.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.