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Finding the Third Proportional to 2,241,952,350 and 4,816,617,646.50

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Solution

The third proportional to 2,241,952,350 and 4,816,617,646.50 is: 10,348,036,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,952,350 : 4,816,617,646.50 = 4,816,617,646.50 : x
  2. Step 2: Convert to fraction form
    2,241,952,350/4,816,617,646.50 = 4,816,617,646.50/x
  3. Step 3: Cross multiply
    2,241,952,350x = 4,816,617,646.50 × 4,816,617,646.50
  4. Step 4: Simplify right side
    2,241,952,350x = 23,199,805,552,575,197,184
  5. Step 5: Solve for x
    x = 23,199,805,552,575,197,184/2,241,952,350
  6. Step 6: Final answer
    x = 10,348,036,858.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.