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Finding the Third Proportional to 388,552,029.75 and 845,182,482.38

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Solution

The third proportional to 388,552,029.75 and 845,182,482.38 is: 1,838,449,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,552,029.75 : 845,182,482.38 = 845,182,482.38 : x
  2. Step 2: Convert to fraction form
    388,552,029.75/845,182,482.38 = 845,182,482.38/x
  3. Step 3: Cross multiply
    388,552,029.75x = 845,182,482.38 × 845,182,482.38
  4. Step 4: Simplify right side
    388,552,029.75x = 714,333,428,513,567,232
  5. Step 5: Solve for x
    x = 714,333,428,513,567,232/388,552,029.75
  6. Step 6: Final answer
    x = 1,838,449,869.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.