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Finding the Third Proportional to 474,843,627 and 1,046,292,784.88

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Solution

The third proportional to 474,843,627 and 1,046,292,784.88 is: 2,305,450,740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,843,627 : 1,046,292,784.88 = 1,046,292,784.88 : x
  2. Step 2: Convert to fraction form
    474,843,627/1,046,292,784.88 = 1,046,292,784.88/x
  3. Step 3: Cross multiply
    474,843,627x = 1,046,292,784.88 × 1,046,292,784.88
  4. Step 4: Simplify right side
    474,843,627x = 1,094,728,591,681,483,008
  5. Step 5: Solve for x
    x = 1,094,728,591,681,483,008/474,843,627
  6. Step 6: Final answer
    x = 2,305,450,740.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.