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Finding the Third Proportional to 731,275,214 and 1,581,826,126

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Solution

The third proportional to 731,275,214 and 1,581,826,126 is: 3,421,658,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,275,214 : 1,581,826,126 = 1,581,826,126 : x
  2. Step 2: Convert to fraction form
    731,275,214/1,581,826,126 = 1,581,826,126/x
  3. Step 3: Cross multiply
    731,275,214x = 1,581,826,126 × 1,581,826,126
  4. Step 4: Simplify right side
    731,275,214x = 2,502,173,892,896,167,936
  5. Step 5: Solve for x
    x = 2,502,173,892,896,167,936/731,275,214
  6. Step 6: Final answer
    x = 3,421,658,282.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.