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Finding the Third Proportional to 67,482,189,693 and 145,120,216,899

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Solution

The third proportional to 67,482,189,693 and 145,120,216,899 is: 312,080,527,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,482,189,693 : 145,120,216,899 = 145,120,216,899 : x
  2. Step 2: Convert to fraction form
    67,482,189,693/145,120,216,899 = 145,120,216,899/x
  3. Step 3: Cross multiply
    67,482,189,693x = 145,120,216,899 × 145,120,216,899
  4. Step 4: Simplify right side
    67,482,189,693x = 21,059,877,352,812,803,260,416
  5. Step 5: Solve for x
    x = 21,059,877,352,812,803,260,416/67,482,189,693
  6. Step 6: Final answer
    x = 312,080,527,449.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.