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Finding the Third Proportional to 32,323,178,014 and 75,521,528,667

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Solution

The third proportional to 32,323,178,014 and 75,521,528,667 is: 176,452,367,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,323,178,014 : 75,521,528,667 = 75,521,528,667 : x
  2. Step 2: Convert to fraction form
    32,323,178,014/75,521,528,667 = 75,521,528,667/x
  3. Step 3: Cross multiply
    32,323,178,014x = 75,521,528,667 × 75,521,528,667
  4. Step 4: Simplify right side
    32,323,178,014x = 5,703,501,292,200,502,755,328
  5. Step 5: Solve for x
    x = 5,703,501,292,200,502,755,328/32,323,178,014
  6. Step 6: Final answer
    x = 176,452,367,701.29

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