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Finding the Third Proportional to 3,634,456,092 and 7,905,706,392

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Solution

The third proportional to 3,634,456,092 and 7,905,706,392 is: 17,196,574,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634,456,092 : 7,905,706,392 = 7,905,706,392 : x
  2. Step 2: Convert to fraction form
    3,634,456,092/7,905,706,392 = 7,905,706,392/x
  3. Step 3: Cross multiply
    3,634,456,092x = 7,905,706,392 × 7,905,706,392
  4. Step 4: Simplify right side
    3,634,456,092x = 62,500,193,556,509,655,040
  5. Step 5: Solve for x
    x = 62,500,193,556,509,655,040/3,634,456,092
  6. Step 6: Final answer
    x = 17,196,574,115.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.