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Finding the Third Proportional to 58,873,910,306 and 128,403,378,781

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Solution

The third proportional to 58,873,910,306 and 128,403,378,781 is: 280,046,417,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,873,910,306 : 128,403,378,781 = 128,403,378,781 : x
  2. Step 2: Convert to fraction form
    58,873,910,306/128,403,378,781 = 128,403,378,781/x
  3. Step 3: Cross multiply
    58,873,910,306x = 128,403,378,781 × 128,403,378,781
  4. Step 4: Simplify right side
    58,873,910,306x = 16,487,427,682,376,962,015,232
  5. Step 5: Solve for x
    x = 16,487,427,682,376,962,015,232/58,873,910,306
  6. Step 6: Final answer
    x = 280,046,417,788.16

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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.