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Finding the Third Proportional to 645,056,883 and 996,101,217

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Solution

The third proportional to 645,056,883 and 996,101,217 is: 1,538,186,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,056,883 : 996,101,217 = 996,101,217 : x
  2. Step 2: Convert to fraction form
    645,056,883/996,101,217 = 996,101,217/x
  3. Step 3: Cross multiply
    645,056,883x = 996,101,217 × 996,101,217
  4. Step 4: Simplify right side
    645,056,883x = 992,217,634,508,881,152
  5. Step 5: Solve for x
    x = 992,217,634,508,881,152/645,056,883
  6. Step 6: Final answer
    x = 1,538,186,260.25

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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.