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Finding the Third Proportional to 448,941,537 and 964,717,794

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Solution

The third proportional to 448,941,537 and 964,717,794 is: 2,073,054,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,941,537 : 964,717,794 = 964,717,794 : x
  2. Step 2: Convert to fraction form
    448,941,537/964,717,794 = 964,717,794/x
  3. Step 3: Cross multiply
    448,941,537x = 964,717,794 × 964,717,794
  4. Step 4: Simplify right side
    448,941,537x = 930,680,422,060,226,432
  5. Step 5: Solve for x
    x = 930,680,422,060,226,432/448,941,537
  6. Step 6: Final answer
    x = 2,073,054,830.88

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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.