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Finding the Third Proportional to 27,671,915,412,410 and 59,508,358,941,304

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Solution

The third proportional to 27,671,915,412,410 and 59,508,358,941,304 is: 127,972,521,276,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671,915,412,410 : 59,508,358,941,304 = 59,508,358,941,304 : x
  2. Step 2: Convert to fraction form
    27,671,915,412,410/59,508,358,941,304 = 59,508,358,941,304/x
  3. Step 3: Cross multiply
    27,671,915,412,410x = 59,508,358,941,304 × 59,508,358,941,304
  4. Step 4: Simplify right side
    27,671,915,412,410x = 3,541,244,783,887,075,565,451,083,776
  5. Step 5: Solve for x
    x = 3,541,244,783,887,075,565,451,083,776/27,671,915,412,410
  6. Step 6: Final answer
    x = 127,972,521,276,894.94

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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.