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Finding the Third Proportional to 617,013,464.63 and 1,334,665,798.88

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Solution

The third proportional to 617,013,464.63 and 1,334,665,798.88 is: 2,887,024,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,013,464.63 : 1,334,665,798.88 = 1,334,665,798.88 : x
  2. Step 2: Convert to fraction form
    617,013,464.63/1,334,665,798.88 = 1,334,665,798.88/x
  3. Step 3: Cross multiply
    617,013,464.63x = 1,334,665,798.88 × 1,334,665,798.88
  4. Step 4: Simplify right side
    617,013,464.63x = 1,781,332,794,686,641,920
  5. Step 5: Solve for x
    x = 1,781,332,794,686,641,920/617,013,464.63
  6. Step 6: Final answer
    x = 2,887,024,184.75

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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.