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Finding the Third Proportional to 32,323,181,550 and 75,521,536,914

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Solution

The third proportional to 32,323,181,550 and 75,521,536,914 is: 176,452,386,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,323,181,550 : 75,521,536,914 = 75,521,536,914 : x
  2. Step 2: Convert to fraction form
    32,323,181,550/75,521,536,914 = 75,521,536,914/x
  3. Step 3: Cross multiply
    32,323,181,550x = 75,521,536,914 × 75,521,536,914
  4. Step 4: Simplify right side
    32,323,181,550x = 5,703,502,537,852,664,676,352
  5. Step 5: Solve for x
    x = 5,703,502,537,852,664,676,352/32,323,181,550
  6. Step 6: Final answer
    x = 176,452,386,935.68

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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.