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Finding the Third Proportional to 3,907,124,937 and 8,381,432,898

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Solution

The third proportional to 3,907,124,937 and 8,381,432,898 is: 17,979,567,727.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907,124,937 : 8,381,432,898 = 8,381,432,898 : x
  2. Step 2: Convert to fraction form
    3,907,124,937/8,381,432,898 = 8,381,432,898/x
  3. Step 3: Cross multiply
    3,907,124,937x = 8,381,432,898 × 8,381,432,898
  4. Step 4: Simplify right side
    3,907,124,937x = 70,248,417,423,676,678,144
  5. Step 5: Solve for x
    x = 70,248,417,423,676,678,144/3,907,124,937
  6. Step 6: Final answer
    x = 17,979,567,727.26

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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.