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Finding the Third Proportional to 7,317,734 and 10,714,160

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Solution

The third proportional to 7,317,734 and 10,714,160 is: 15,686,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317,734 : 10,714,160 = 10,714,160 : x
  2. Step 2: Convert to fraction form
    7,317,734/10,714,160 = 10,714,160/x
  3. Step 3: Cross multiply
    7,317,734x = 10,714,160 × 10,714,160
  4. Step 4: Simplify right side
    7,317,734x = 114,793,224,505,600
  5. Step 5: Solve for x
    x = 114,793,224,505,600/7,317,734
  6. Step 6: Final answer
    x = 15,686,990.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.