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Finding the Third Proportional to 8,513,101,264 and 19,890,445,816

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Solution

The third proportional to 8,513,101,264 and 19,890,445,816 is: 46,473,056,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513,101,264 : 19,890,445,816 = 19,890,445,816 : x
  2. Step 2: Convert to fraction form
    8,513,101,264/19,890,445,816 = 19,890,445,816/x
  3. Step 3: Cross multiply
    8,513,101,264x = 19,890,445,816 × 19,890,445,816
  4. Step 4: Simplify right side
    8,513,101,264x = 395,629,834,759,231,897,600
  5. Step 5: Solve for x
    x = 395,629,834,759,231,897,600/8,513,101,264
  6. Step 6: Final answer
    x = 46,473,056,350.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.