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Finding the Third Proportional to 32,323,178,011 and 75,521,528,661

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Solution

The third proportional to 32,323,178,011 and 75,521,528,661 is: 176,452,367,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,323,178,011 : 75,521,528,661 = 75,521,528,661 : x
  2. Step 2: Convert to fraction form
    32,323,178,011/75,521,528,661 = 75,521,528,661/x
  3. Step 3: Cross multiply
    32,323,178,011x = 75,521,528,661 × 75,521,528,661
  4. Step 4: Simplify right side
    32,323,178,011x = 5,703,501,291,294,244,732,928
  5. Step 5: Solve for x
    x = 5,703,501,291,294,244,732,928/32,323,178,011
  6. Step 6: Final answer
    x = 176,452,367,689.63

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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.