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Finding the Third Proportional to 731,275,211 and 1,581,826,122

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Solution

The third proportional to 731,275,211 and 1,581,826,122 is: 3,421,658,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,275,211 : 1,581,826,122 = 1,581,826,122 : x
  2. Step 2: Convert to fraction form
    731,275,211/1,581,826,122 = 1,581,826,122/x
  3. Step 3: Cross multiply
    731,275,211x = 1,581,826,122 × 1,581,826,122
  4. Step 4: Simplify right side
    731,275,211x = 2,502,173,880,241,559,040
  5. Step 5: Solve for x
    x = 2,502,173,880,241,559,040/731,275,211
  6. Step 6: Final answer
    x = 3,421,658,279.40

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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.