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Finding the Third Proportional to 31,166,797,210 and 66,746,681,312

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Solution

The third proportional to 31,166,797,210 and 66,746,681,312 is: 142,944,410,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,166,797,210 : 66,746,681,312 = 66,746,681,312 : x
  2. Step 2: Convert to fraction form
    31,166,797,210/66,746,681,312 = 66,746,681,312/x
  3. Step 3: Cross multiply
    31,166,797,210x = 66,746,681,312 × 66,746,681,312
  4. Step 4: Simplify right side
    31,166,797,210x = 4,455,119,466,165,690,171,392
  5. Step 5: Solve for x
    x = 4,455,119,466,165,690,171,392/31,166,797,210
  6. Step 6: Final answer
    x = 142,944,410,878.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.