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Finding the Third Proportional to 467,435,820 and 999,711,768

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Solution

The third proportional to 467,435,820 and 999,711,768 is: 2,138,098,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,435,820 : 999,711,768 = 999,711,768 : x
  2. Step 2: Convert to fraction form
    467,435,820/999,711,768 = 999,711,768/x
  3. Step 3: Cross multiply
    467,435,820x = 999,711,768 × 999,711,768
  4. Step 4: Simplify right side
    467,435,820x = 999,423,619,077,685,760
  5. Step 5: Solve for x
    x = 999,423,619,077,685,760/467,435,820
  6. Step 6: Final answer
    x = 2,138,098,058.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.