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Finding the Third Proportional to 798,103,269 and 1,864,729,357

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Solution

The third proportional to 798,103,269 and 1,864,729,357 is: 4,356,849,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,103,269 : 1,864,729,357 = 1,864,729,357 : x
  2. Step 2: Convert to fraction form
    798,103,269/1,864,729,357 = 1,864,729,357/x
  3. Step 3: Cross multiply
    798,103,269x = 1,864,729,357 × 1,864,729,357
  4. Step 4: Simplify right side
    798,103,269x = 3,477,215,574,857,633,280
  5. Step 5: Solve for x
    x = 3,477,215,574,857,633,280/798,103,269
  6. Step 6: Final answer
    x = 4,356,849,182.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.