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Finding the Third Proportional to 7,888,908,006,342 and 16,965,069,540,160

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Solution

The third proportional to 7,888,908,006,342 and 16,965,069,540,160 is: 36,483,323,708,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888,908,006,342 : 16,965,069,540,160 = 16,965,069,540,160 : x
  2. Step 2: Convert to fraction form
    7,888,908,006,342/16,965,069,540,160 = 16,965,069,540,160/x
  3. Step 3: Cross multiply
    7,888,908,006,342x = 16,965,069,540,160 × 16,965,069,540,160
  4. Step 4: Simplify right side
    7,888,908,006,342x = 287,813,584,502,464,644,686,807,040
  5. Step 5: Solve for x
    x = 287,813,584,502,464,644,686,807,040/7,888,908,006,342
  6. Step 6: Final answer
    x = 36,483,323,708,564.91

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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.