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Finding the Third Proportional to 301,466,410.88 and 653,015,651.63

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Solution

The third proportional to 301,466,410.88 and 653,015,651.63 is: 1,414,517,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,466,410.88 : 653,015,651.63 = 653,015,651.63 : x
  2. Step 2: Convert to fraction form
    301,466,410.88/653,015,651.63 = 653,015,651.63/x
  3. Step 3: Cross multiply
    301,466,410.88x = 653,015,651.63 × 653,015,651.63
  4. Step 4: Simplify right side
    301,466,410.88x = 426,429,441,267,223,360
  5. Step 5: Solve for x
    x = 426,429,441,267,223,360/301,466,410.88
  6. Step 6: Final answer
    x = 1,414,517,259.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.