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Finding the Third Proportional to 27,069,205,946 and 41,381,841,783

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Solution

The third proportional to 27,069,205,946 and 41,381,841,783 is: 63,262,174,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,069,205,946 : 41,381,841,783 = 41,381,841,783 : x
  2. Step 2: Convert to fraction form
    27,069,205,946/41,381,841,783 = 41,381,841,783/x
  3. Step 3: Cross multiply
    27,069,205,946x = 41,381,841,783 × 41,381,841,783
  4. Step 4: Simplify right side
    27,069,205,946x = 1,712,456,829,353,244,491,776
  5. Step 5: Solve for x
    x = 1,712,456,829,353,244,491,776/27,069,205,946
  6. Step 6: Final answer
    x = 63,262,174,471.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.