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Finding the Third Proportional to 409,348,275.75 and 668,358,084.38

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Solution

The third proportional to 409,348,275.75 and 668,358,084.38 is: 1,091,252,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,348,275.75 : 668,358,084.38 = 668,358,084.38 : x
  2. Step 2: Convert to fraction form
    409,348,275.75/668,358,084.38 = 668,358,084.38/x
  3. Step 3: Cross multiply
    409,348,275.75x = 668,358,084.38 × 668,358,084.38
  4. Step 4: Simplify right side
    409,348,275.75x = 446,702,528,949,419,648
  5. Step 5: Solve for x
    x = 446,702,528,949,419,648/409,348,275.75
  6. Step 6: Final answer
    x = 1,091,252,987.77

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.