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Finding the Third Proportional to 2,976,109,792 and 4,900,476,048

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Solution

The third proportional to 2,976,109,792 and 4,900,476,048 is: 8,069,146,360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,109,792 : 4,900,476,048 = 4,900,476,048 : x
  2. Step 2: Convert to fraction form
    2,976,109,792/4,900,476,048 = 4,900,476,048/x
  3. Step 3: Cross multiply
    2,976,109,792x = 4,900,476,048 × 4,900,476,048
  4. Step 4: Simplify right side
    2,976,109,792x = 24,014,665,497,021,698,048
  5. Step 5: Solve for x
    x = 24,014,665,497,021,698,048/2,976,109,792
  6. Step 6: Final answer
    x = 8,069,146,360.65

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.