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Finding the Third Proportional to 2,331,596,338 and 3,334,210,210

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Solution

The third proportional to 2,331,596,338 and 3,334,210,210 is: 4,767,959,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331,596,338 : 3,334,210,210 = 3,334,210,210 : x
  2. Step 2: Convert to fraction form
    2,331,596,338/3,334,210,210 = 3,334,210,210/x
  3. Step 3: Cross multiply
    2,331,596,338x = 3,334,210,210 × 3,334,210,210
  4. Step 4: Simplify right side
    2,331,596,338x = 11,116,957,724,468,244,480
  5. Step 5: Solve for x
    x = 11,116,957,724,468,244,480/2,331,596,338
  6. Step 6: Final answer
    x = 4,767,959,849.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.