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Finding the Third Proportional to 1,104,941,551 and 1,668,883,984

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Solution

The third proportional to 1,104,941,551 and 1,668,883,984 is: 2,520,652,562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104,941,551 : 1,668,883,984 = 1,668,883,984 : x
  2. Step 2: Convert to fraction form
    1,104,941,551/1,668,883,984 = 1,668,883,984/x
  3. Step 3: Cross multiply
    1,104,941,551x = 1,668,883,984 × 1,668,883,984
  4. Step 4: Simplify right side
    1,104,941,551x = 2,785,173,752,051,712,000
  5. Step 5: Solve for x
    x = 2,785,173,752,051,712,000/1,104,941,551
  6. Step 6: Final answer
    x = 2,520,652,562.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.