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Finding the Third Proportional to 698,447,049 and 1,520,896,998.50

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Solution

The third proportional to 698,447,049 and 1,520,896,998.50 is: 3,311,815,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,447,049 : 1,520,896,998.50 = 1,520,896,998.50 : x
  2. Step 2: Convert to fraction form
    698,447,049/1,520,896,998.50 = 1,520,896,998.50/x
  3. Step 3: Cross multiply
    698,447,049x = 1,520,896,998.50 × 1,520,896,998.50
  4. Step 4: Simplify right side
    698,447,049x = 2,313,127,680,046,308,864
  5. Step 5: Solve for x
    x = 2,313,127,680,046,308,864/698,447,049
  6. Step 6: Final answer
    x = 3,311,815,381.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.