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Finding the Third Proportional to 472,395,475.50 and 1,030,750,743

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Solution

The third proportional to 472,395,475.50 and 1,030,750,743 is: 2,249,062,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,395,475.50 : 1,030,750,743 = 1,030,750,743 : x
  2. Step 2: Convert to fraction form
    472,395,475.50/1,030,750,743 = 1,030,750,743/x
  3. Step 3: Cross multiply
    472,395,475.50x = 1,030,750,743 × 1,030,750,743
  4. Step 4: Simplify right side
    472,395,475.50x = 1,062,447,094,195,052,032
  5. Step 5: Solve for x
    x = 1,062,447,094,195,052,032/472,395,475.50
  6. Step 6: Final answer
    x = 2,249,062,807.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.