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Finding the Third Proportional to 27,287,510,209,956 and 60,676,118,279,640

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Solution

The third proportional to 27,287,510,209,956 and 60,676,118,279,640 is: 134,918,550,690,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,287,510,209,956 : 60,676,118,279,640 = 60,676,118,279,640 : x
  2. Step 2: Convert to fraction form
    27,287,510,209,956/60,676,118,279,640 = 60,676,118,279,640/x
  3. Step 3: Cross multiply
    27,287,510,209,956x = 60,676,118,279,640 × 60,676,118,279,640
  4. Step 4: Simplify right side
    27,287,510,209,956x = 3,681,591,329,484,863,156,973,993,984
  5. Step 5: Solve for x
    x = 3,681,591,329,484,863,156,973,993,984/27,287,510,209,956
  6. Step 6: Final answer
    x = 134,918,550,690,697.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.