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Finding the Third Proportional to 240,671,724 and 372,047,784

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Solution

The third proportional to 240,671,724 and 372,047,784 is: 575,138,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,671,724 : 372,047,784 = 372,047,784 : x
  2. Step 2: Convert to fraction form
    240,671,724/372,047,784 = 372,047,784/x
  3. Step 3: Cross multiply
    240,671,724x = 372,047,784 × 372,047,784
  4. Step 4: Simplify right side
    240,671,724x = 138,419,553,579,310,656
  5. Step 5: Solve for x
    x = 138,419,553,579,310,656/240,671,724
  6. Step 6: Final answer
    x = 575,138,413.76

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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.