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Finding the Third Proportional to 2,815,603,272 and 4,259,643,912

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Solution

The third proportional to 2,815,603,272 and 4,259,643,912 is: 6,444,290,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815,603,272 : 4,259,643,912 = 4,259,643,912 : x
  2. Step 2: Convert to fraction form
    2,815,603,272/4,259,643,912 = 4,259,643,912/x
  3. Step 3: Cross multiply
    2,815,603,272x = 4,259,643,912 × 4,259,643,912
  4. Step 4: Simplify right side
    2,815,603,272x = 18,144,566,257,038,663,680
  5. Step 5: Solve for x
    x = 18,144,566,257,038,663,680/2,815,603,272
  6. Step 6: Final answer
    x = 6,444,290,798.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.