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Finding the Third Proportional to 65,464,002,484 and 141,146,244,284

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Solution

The third proportional to 65,464,002,484 and 141,146,244,284 is: 304,323,926,425.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,464,002,484 : 141,146,244,284 = 141,146,244,284 : x
  2. Step 2: Convert to fraction form
    65,464,002,484/141,146,244,284 = 141,146,244,284/x
  3. Step 3: Cross multiply
    65,464,002,484x = 141,146,244,284 × 141,146,244,284
  4. Step 4: Simplify right side
    65,464,002,484x = 19,922,262,275,478,603,694,080
  5. Step 5: Solve for x
    x = 19,922,262,275,478,603,694,080/65,464,002,484
  6. Step 6: Final answer
    x = 304,323,926,425.79

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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.