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Finding the Third Proportional to 27,715,420,904 and 64,671,550,528

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Solution

The third proportional to 27,715,420,904 and 64,671,550,528 is: 150,905,499,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,715,420,904 : 64,671,550,528 = 64,671,550,528 : x
  2. Step 2: Convert to fraction form
    27,715,420,904/64,671,550,528 = 64,671,550,528/x
  3. Step 3: Cross multiply
    27,715,420,904x = 64,671,550,528 × 64,671,550,528
  4. Step 4: Simplify right side
    27,715,420,904x = 4,182,409,447,695,657,205,760
  5. Step 5: Solve for x
    x = 4,182,409,447,695,657,205,760/27,715,420,904
  6. Step 6: Final answer
    x = 150,905,499,944.69

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.