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Finding the Third Proportional to 7,291,912 and 15,714,284

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Solution

The third proportional to 7,291,912 and 15,714,284 is: 33,864,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291,912 : 15,714,284 = 15,714,284 : x
  2. Step 2: Convert to fraction form
    7,291,912/15,714,284 = 15,714,284/x
  3. Step 3: Cross multiply
    7,291,912x = 15,714,284 × 15,714,284
  4. Step 4: Simplify right side
    7,291,912x = 246,938,721,632,656
  5. Step 5: Solve for x
    x = 246,938,721,632,656/7,291,912
  6. Step 6: Final answer
    x = 33,864,742.42

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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.