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Finding the Third Proportional to 1,146,310,924 and 2,456,187,632

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Solution

The third proportional to 1,146,310,924 and 2,456,187,632 is: 5,262,845,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,310,924 : 2,456,187,632 = 2,456,187,632 : x
  2. Step 2: Convert to fraction form
    1,146,310,924/2,456,187,632 = 2,456,187,632/x
  3. Step 3: Cross multiply
    1,146,310,924x = 2,456,187,632 × 2,456,187,632
  4. Step 4: Simplify right side
    1,146,310,924x = 6,032,857,683,589,767,168
  5. Step 5: Solve for x
    x = 6,032,857,683,589,767,168/1,146,310,924
  6. Step 6: Final answer
    x = 5,262,845,845.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.