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Finding the Third Proportional to 884,022,260.63 and 1,473,281,641.13

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Solution

The third proportional to 884,022,260.63 and 1,473,281,641.13 is: 2,455,321,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,022,260.63 : 1,473,281,641.13 = 1,473,281,641.13 : x
  2. Step 2: Convert to fraction form
    884,022,260.63/1,473,281,641.13 = 1,473,281,641.13/x
  3. Step 3: Cross multiply
    884,022,260.63x = 1,473,281,641.13 × 1,473,281,641.13
  4. Step 4: Simplify right side
    884,022,260.63x = 2,170,558,794,075,973,376
  5. Step 5: Solve for x
    x = 2,170,558,794,075,973,376/884,022,260.63
  6. Step 6: Final answer
    x = 2,455,321,422.04

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.