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Finding the Third Proportional to 647,465,953.50 and 1,002,138,966

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Solution

The third proportional to 647,465,953.50 and 1,002,138,966 is: 1,551,097,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,465,953.50 : 1,002,138,966 = 1,002,138,966 : x
  2. Step 2: Convert to fraction form
    647,465,953.50/1,002,138,966 = 1,002,138,966/x
  3. Step 3: Cross multiply
    647,465,953.50x = 1,002,138,966 × 1,002,138,966
  4. Step 4: Simplify right side
    647,465,953.50x = 1,004,282,507,175,549,184
  5. Step 5: Solve for x
    x = 1,004,282,507,175,549,184/647,465,953.50
  6. Step 6: Final answer
    x = 1,551,097,014.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.