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Finding the Third Proportional to 3,234,472,506 and 4,968,545,472

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Solution

The third proportional to 3,234,472,506 and 4,968,545,472 is: 7,632,293,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234,472,506 : 4,968,545,472 = 4,968,545,472 : x
  2. Step 2: Convert to fraction form
    3,234,472,506/4,968,545,472 = 4,968,545,472/x
  3. Step 3: Cross multiply
    3,234,472,506x = 4,968,545,472 × 4,968,545,472
  4. Step 4: Simplify right side
    3,234,472,506x = 24,686,444,107,331,702,784
  5. Step 5: Solve for x
    x = 24,686,444,107,331,702,784/3,234,472,506
  6. Step 6: Final answer
    x = 7,632,293,692.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.