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Finding the Third Proportional to 2,217,736,579 and 4,771,833,858

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Solution

The third proportional to 2,217,736,579 and 4,771,833,858 is: 10,267,404,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217,736,579 : 4,771,833,858 = 4,771,833,858 : x
  2. Step 2: Convert to fraction form
    2,217,736,579/4,771,833,858 = 4,771,833,858/x
  3. Step 3: Cross multiply
    2,217,736,579x = 4,771,833,858 × 4,771,833,858
  4. Step 4: Simplify right side
    2,217,736,579x = 22,770,398,368,355,164,160
  5. Step 5: Solve for x
    x = 22,770,398,368,355,164,160/2,217,736,579
  6. Step 6: Final answer
    x = 10,267,404,426.64

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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.