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Finding the Third Proportional to 27,671,915,412,440 and 59,508,358,941,358

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Solution

The third proportional to 27,671,915,412,440 and 59,508,358,941,358 is: 127,972,521,276,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671,915,412,440 : 59,508,358,941,358 = 59,508,358,941,358 : x
  2. Step 2: Convert to fraction form
    27,671,915,412,440/59,508,358,941,358 = 59,508,358,941,358/x
  3. Step 3: Cross multiply
    27,671,915,412,440x = 59,508,358,941,358 × 59,508,358,941,358
  4. Step 4: Simplify right side
    27,671,915,412,440x = 3,541,244,783,893,502,760,671,248,384
  5. Step 5: Solve for x
    x = 3,541,244,783,893,502,760,671,248,384/27,671,915,412,440
  6. Step 6: Final answer
    x = 127,972,521,276,988.45

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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.