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Finding the Third Proportional to 67,026,229,119 and 145,820,263,464

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Solution

The third proportional to 67,026,229,119 and 145,820,263,464 is: 317,242,212,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,026,229,119 : 145,820,263,464 = 145,820,263,464 : x
  2. Step 2: Convert to fraction form
    67,026,229,119/145,820,263,464 = 145,820,263,464/x
  3. Step 3: Cross multiply
    67,026,229,119x = 145,820,263,464 × 145,820,263,464
  4. Step 4: Simplify right side
    67,026,229,119x = 21,263,549,236,710,373,064,704
  5. Step 5: Solve for x
    x = 21,263,549,236,710,373,064,704/67,026,229,119
  6. Step 6: Final answer
    x = 317,242,212,730.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.