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Finding the Third Proportional to 5,692,282,068,167 and 8,671,797,986,440

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Solution

The third proportional to 5,692,282,068,167 and 8,671,797,986,440 is: 13,210,884,389,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,282,068,167 : 8,671,797,986,440 = 8,671,797,986,440 : x
  2. Step 2: Convert to fraction form
    5,692,282,068,167/8,671,797,986,440 = 8,671,797,986,440/x
  3. Step 3: Cross multiply
    5,692,282,068,167x = 8,671,797,986,440 × 8,671,797,986,440
  4. Step 4: Simplify right side
    5,692,282,068,167x = 75,200,080,317,624,838,535,512,064
  5. Step 5: Solve for x
    x = 75,200,080,317,624,838,535,512,064/5,692,282,068,167
  6. Step 6: Final answer
    x = 13,210,884,389,964.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.