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Finding the Third Proportional to 741,720,502,243 and 1,606,663,420,417

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Solution

The third proportional to 741,720,502,243 and 1,606,663,420,417 is: 3,480,242,677,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,720,502,243 : 1,606,663,420,417 = 1,606,663,420,417 : x
  2. Step 2: Convert to fraction form
    741,720,502,243/1,606,663,420,417 = 1,606,663,420,417/x
  3. Step 3: Cross multiply
    741,720,502,243x = 1,606,663,420,417 × 1,606,663,420,417
  4. Step 4: Simplify right side
    741,720,502,243x = 2,581,367,346,506,053,720,211,456
  5. Step 5: Solve for x
    x = 2,581,367,346,506,053,720,211,456/741,720,502,243
  6. Step 6: Final answer
    x = 3,480,242,677,261.68

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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.