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Finding the Third Proportional to 32,323,181,534 and 75,521,536,882

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Solution

The third proportional to 32,323,181,534 and 75,521,536,882 is: 176,452,386,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,323,181,534 : 75,521,536,882 = 75,521,536,882 : x
  2. Step 2: Convert to fraction form
    32,323,181,534/75,521,536,882 = 75,521,536,882/x
  3. Step 3: Cross multiply
    32,323,181,534x = 75,521,536,882 × 75,521,536,882
  4. Step 4: Simplify right side
    32,323,181,534x = 5,703,502,533,019,286,110,208
  5. Step 5: Solve for x
    x = 5,703,502,533,019,286,110,208/32,323,181,534
  6. Step 6: Final answer
    x = 176,452,386,873.49

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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.