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Finding the Third Proportional to 38,851,898,952 and 83,596,403,856

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Solution

The third proportional to 38,851,898,952 and 83,596,403,856 is: 179,871,741,823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,851,898,952 : 83,596,403,856 = 83,596,403,856 : x
  2. Step 2: Convert to fraction form
    38,851,898,952/83,596,403,856 = 83,596,403,856/x
  3. Step 3: Cross multiply
    38,851,898,952x = 83,596,403,856 × 83,596,403,856
  4. Step 4: Simplify right side
    38,851,898,952x = 6,988,358,737,655,451,615,232
  5. Step 5: Solve for x
    x = 6,988,358,737,655,451,615,232/38,851,898,952
  6. Step 6: Final answer
    x = 179,871,741,823.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.