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Finding the Third Proportional to 349,846,769 and 809,916,714.50

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Solution

The third proportional to 349,846,769 and 809,916,714.50 is: 1,875,006,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,846,769 : 809,916,714.50 = 809,916,714.50 : x
  2. Step 2: Convert to fraction form
    349,846,769/809,916,714.50 = 809,916,714.50/x
  3. Step 3: Cross multiply
    349,846,769x = 809,916,714.50 × 809,916,714.50
  4. Step 4: Simplify right side
    349,846,769x = 655,965,084,426,474,496
  5. Step 5: Solve for x
    x = 655,965,084,426,474,496/349,846,769
  6. Step 6: Final answer
    x = 1,875,006,838.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.