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Finding the Third Proportional to 53,971,267,017,472 and 82,221,492,021,072

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Solution

The third proportional to 53,971,267,017,472 and 82,221,492,021,072 is: 125,258,755,700,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,971,267,017,472 : 82,221,492,021,072 = 82,221,492,021,072 : x
  2. Step 2: Convert to fraction form
    53,971,267,017,472/82,221,492,021,072 = 82,221,492,021,072/x
  3. Step 3: Cross multiply
    53,971,267,017,472x = 82,221,492,021,072 × 82,221,492,021,072
  4. Step 4: Simplify right side
    53,971,267,017,472x = 6,760,373,750,171,206,582,580,281,344
  5. Step 5: Solve for x
    x = 6,760,373,750,171,206,582,580,281,344/53,971,267,017,472
  6. Step 6: Final answer
    x = 125,258,755,700,189.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.