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Finding the Third Proportional to 703,206,150.75 and 1,034,481,466.13

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Solution

The third proportional to 703,206,150.75 and 1,034,481,466.13 is: 1,521,818,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,206,150.75 : 1,034,481,466.13 = 1,034,481,466.13 : x
  2. Step 2: Convert to fraction form
    703,206,150.75/1,034,481,466.13 = 1,034,481,466.13/x
  3. Step 3: Cross multiply
    703,206,150.75x = 1,034,481,466.13 × 1,034,481,466.13
  4. Step 4: Simplify right side
    703,206,150.75x = 1,070,151,903,756,129,536
  5. Step 5: Solve for x
    x = 1,070,151,903,756,129,536/703,206,150.75
  6. Step 6: Final answer
    x = 1,521,818,178.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.