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Finding the Third Proportional to 741,720,501,942 and 1,606,663,419,803

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Solution

The third proportional to 741,720,501,942 and 1,606,663,419,803 is: 3,480,242,676,014.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,720,501,942 : 1,606,663,419,803 = 1,606,663,419,803 : x
  2. Step 2: Convert to fraction form
    741,720,501,942/1,606,663,419,803 = 1,606,663,419,803/x
  3. Step 3: Cross multiply
    741,720,501,942x = 1,606,663,419,803 × 1,606,663,419,803
  4. Step 4: Simplify right side
    741,720,501,942x = 2,581,367,344,533,070,835,351,552
  5. Step 5: Solve for x
    x = 2,581,367,344,533,070,835,351,552/741,720,501,942
  6. Step 6: Final answer
    x = 3,480,242,676,014.00

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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.