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Finding the Third Proportional to 2,571,518,784 and 5,581,417,200

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Solution

The third proportional to 2,571,518,784 and 5,581,417,200 is: 12,114,326,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571,518,784 : 5,581,417,200 = 5,581,417,200 : x
  2. Step 2: Convert to fraction form
    2,571,518,784/5,581,417,200 = 5,581,417,200/x
  3. Step 3: Cross multiply
    2,571,518,784x = 5,581,417,200 × 5,581,417,200
  4. Step 4: Simplify right side
    2,571,518,784x = 31,152,217,960,455,839,744
  5. Step 5: Solve for x
    x = 31,152,217,960,455,839,744/2,571,518,784
  6. Step 6: Final answer
    x = 12,114,326,426.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.