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Finding the Third Proportional to 645,056,887 and 996,101,222

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Solution

The third proportional to 645,056,887 and 996,101,222 is: 1,538,186,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,056,887 : 996,101,222 = 996,101,222 : x
  2. Step 2: Convert to fraction form
    645,056,887/996,101,222 = 996,101,222/x
  3. Step 3: Cross multiply
    645,056,887x = 996,101,222 × 996,101,222
  4. Step 4: Simplify right side
    645,056,887x = 992,217,644,469,893,248
  5. Step 5: Solve for x
    x = 992,217,644,469,893,248/645,056,887
  6. Step 6: Final answer
    x = 1,538,186,266.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.