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Finding the Third Proportional to 381,263,134.50 and 822,992,445

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Solution

The third proportional to 381,263,134.50 and 822,992,445 is: 1,776,506,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,263,134.50 : 822,992,445 = 822,992,445 : x
  2. Step 2: Convert to fraction form
    381,263,134.50/822,992,445 = 822,992,445/x
  3. Step 3: Cross multiply
    381,263,134.50x = 822,992,445 × 822,992,445
  4. Step 4: Simplify right side
    381,263,134.50x = 677,316,564,527,078,016
  5. Step 5: Solve for x
    x = 677,316,564,527,078,016/381,263,134.50
  6. Step 6: Final answer
    x = 1,776,506,835.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.