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Finding the Third Proportional to 1,534,707,715 and 3,329,903,655

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Solution

The third proportional to 1,534,707,715 and 3,329,903,655 is: 7,224,996,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,707,715 : 3,329,903,655 = 3,329,903,655 : x
  2. Step 2: Convert to fraction form
    1,534,707,715/3,329,903,655 = 3,329,903,655/x
  3. Step 3: Cross multiply
    1,534,707,715x = 3,329,903,655 × 3,329,903,655
  4. Step 4: Simplify right side
    1,534,707,715x = 11,088,258,351,582,359,552
  5. Step 5: Solve for x
    x = 11,088,258,351,582,359,552/1,534,707,715
  6. Step 6: Final answer
    x = 7,224,996,814.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.