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Finding the Third Proportional to 3,901,570,310 and 5,943,823,671

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Solution

The third proportional to 3,901,570,310 and 5,943,823,671 is: 9,055,082,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901,570,310 : 5,943,823,671 = 5,943,823,671 : x
  2. Step 2: Convert to fraction form
    3,901,570,310/5,943,823,671 = 5,943,823,671/x
  3. Step 3: Cross multiply
    3,901,570,310x = 5,943,823,671 × 5,943,823,671
  4. Step 4: Simplify right side
    3,901,570,310x = 35,329,039,831,939,915,776
  5. Step 5: Solve for x
    x = 35,329,039,831,939,915,776/3,901,570,310
  6. Step 6: Final answer
    x = 9,055,082,191.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.