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Finding the Third Proportional to 403,675,032 and 883,772,544

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Solution

The third proportional to 403,675,032 and 883,772,544 is: 1,934,858,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,675,032 : 883,772,544 = 883,772,544 : x
  2. Step 2: Convert to fraction form
    403,675,032/883,772,544 = 883,772,544/x
  3. Step 3: Cross multiply
    403,675,032x = 883,772,544 × 883,772,544
  4. Step 4: Simplify right side
    403,675,032x = 781,053,909,528,231,936
  5. Step 5: Solve for x
    x = 781,053,909,528,231,936/403,675,032
  6. Step 6: Final answer
    x = 1,934,858,110.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.