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Finding the Third Proportional to 7,466,592 and 15,956,688

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Solution

The third proportional to 7,466,592 and 15,956,688 is: 34,100,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466,592 : 15,956,688 = 15,956,688 : x
  2. Step 2: Convert to fraction form
    7,466,592/15,956,688 = 15,956,688/x
  3. Step 3: Cross multiply
    7,466,592x = 15,956,688 × 15,956,688
  4. Step 4: Simplify right side
    7,466,592x = 254,615,891,929,344
  5. Step 5: Solve for x
    x = 254,615,891,929,344/7,466,592
  6. Step 6: Final answer
    x = 34,100,683.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.