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Finding the Third Proportional to 967,220,199 and 2,098,655,653.50

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Solution

The third proportional to 967,220,199 and 2,098,655,653.50 is: 4,553,622,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,220,199 : 2,098,655,653.50 = 2,098,655,653.50 : x
  2. Step 2: Convert to fraction form
    967,220,199/2,098,655,653.50 = 2,098,655,653.50/x
  3. Step 3: Cross multiply
    967,220,199x = 2,098,655,653.50 × 2,098,655,653.50
  4. Step 4: Simplify right side
    967,220,199x = 4,404,355,551,967,512,064
  5. Step 5: Solve for x
    x = 4,404,355,551,967,512,064/967,220,199
  6. Step 6: Final answer
    x = 4,553,622,387.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.