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Finding the Third Proportional to 2,736,567,471 and 5,974,748,817

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Solution

The third proportional to 2,736,567,471 and 5,974,748,817 is: 13,044,671,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736,567,471 : 5,974,748,817 = 5,974,748,817 : x
  2. Step 2: Convert to fraction form
    2,736,567,471/5,974,748,817 = 5,974,748,817/x
  3. Step 3: Cross multiply
    2,736,567,471x = 5,974,748,817 × 5,974,748,817
  4. Step 4: Simplify right side
    2,736,567,471x = 35,697,623,426,242,899,968
  5. Step 5: Solve for x
    x = 35,697,623,426,242,899,968/2,736,567,471
  6. Step 6: Final answer
    x = 13,044,671,401.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.