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Finding the Third Proportional to 31,413,744,368 and 50,009,640,623

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Solution

The third proportional to 31,413,744,368 and 50,009,640,623 is: 79,613,691,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413,744,368 : 50,009,640,623 = 50,009,640,623 : x
  2. Step 2: Convert to fraction form
    31,413,744,368/50,009,640,623 = 50,009,640,623/x
  3. Step 3: Cross multiply
    31,413,744,368x = 50,009,640,623 × 50,009,640,623
  4. Step 4: Simplify right side
    31,413,744,368x = 2,500,964,155,241,611,657,216
  5. Step 5: Solve for x
    x = 2,500,964,155,241,611,657,216/31,413,744,368
  6. Step 6: Final answer
    x = 79,613,691,572.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.