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Finding the Third Proportional to 3,410,938,799,754 and 7,584,514,831,092

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Solution

The third proportional to 3,410,938,799,754 and 7,584,514,831,092 is: 16,864,818,925,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410,938,799,754 : 7,584,514,831,092 = 7,584,514,831,092 : x
  2. Step 2: Convert to fraction form
    3,410,938,799,754/7,584,514,831,092 = 7,584,514,831,092/x
  3. Step 3: Cross multiply
    3,410,938,799,754x = 7,584,514,831,092 × 7,584,514,831,092
  4. Step 4: Simplify right side
    3,410,938,799,754x = 57,524,865,223,054,508,867,715,072
  5. Step 5: Solve for x
    x = 57,524,865,223,054,508,867,715,072/3,410,938,799,754
  6. Step 6: Final answer
    x = 16,864,818,925,277.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.