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Finding the Third Proportional to 2,365,681,653 and 5,047,997,560.50

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Solution

The third proportional to 2,365,681,653 and 5,047,997,560.50 is: 10,771,643,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,681,653 : 5,047,997,560.50 = 5,047,997,560.50 : x
  2. Step 2: Convert to fraction form
    2,365,681,653/5,047,997,560.50 = 5,047,997,560.50/x
  3. Step 3: Cross multiply
    2,365,681,653x = 5,047,997,560.50 × 5,047,997,560.50
  4. Step 4: Simplify right side
    2,365,681,653x = 25,482,279,370,813,952,000
  5. Step 5: Solve for x
    x = 25,482,279,370,813,952,000/2,365,681,653
  6. Step 6: Final answer
    x = 10,771,643,487.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.