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Finding the Third Proportional to 239,559,465,216 and 372,124,053,729

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Solution

The third proportional to 239,559,465,216 and 372,124,053,729 is: 578,045,669,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,559,465,216 : 372,124,053,729 = 372,124,053,729 : x
  2. Step 2: Convert to fraction form
    239,559,465,216/372,124,053,729 = 372,124,053,729/x
  3. Step 3: Cross multiply
    239,559,465,216x = 372,124,053,729 × 372,124,053,729
  4. Step 4: Simplify right side
    239,559,465,216x = 138,476,311,363,703,680,270,336
  5. Step 5: Solve for x
    x = 138,476,311,363,703,680,270,336/239,559,465,216
  6. Step 6: Final answer
    x = 578,045,669,115.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.