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Finding the Third Proportional to 548,343,688 and 1,186,971,920

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Solution

The third proportional to 548,343,688 and 1,186,971,920 is: 2,569,378,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,343,688 : 1,186,971,920 = 1,186,971,920 : x
  2. Step 2: Convert to fraction form
    548,343,688/1,186,971,920 = 1,186,971,920/x
  3. Step 3: Cross multiply
    548,343,688x = 1,186,971,920 × 1,186,971,920
  4. Step 4: Simplify right side
    548,343,688x = 1,408,902,338,868,486,400
  5. Step 5: Solve for x
    x = 1,408,902,338,868,486,400/548,343,688
  6. Step 6: Final answer
    x = 2,569,378,237.96

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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.