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Finding the Third Proportional to 16,762,729,200 and 36,501,528,016

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Solution

The third proportional to 16,762,729,200 and 36,501,528,016 is: 79,483,569,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762,729,200 : 36,501,528,016 = 36,501,528,016 : x
  2. Step 2: Convert to fraction form
    16,762,729,200/36,501,528,016 = 36,501,528,016/x
  3. Step 3: Cross multiply
    16,762,729,200x = 36,501,528,016 × 36,501,528,016
  4. Step 4: Simplify right side
    16,762,729,200x = 1,332,361,547,502,832,844,800
  5. Step 5: Solve for x
    x = 1,332,361,547,502,832,844,800/16,762,729,200
  6. Step 6: Final answer
    x = 79,483,569,268.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.