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Finding the Third Proportional to 408,046,023 and 885,370,353.75

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Solution

The third proportional to 408,046,023 and 885,370,353.75 is: 1,921,059,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,023 : 885,370,353.75 = 885,370,353.75 : x
  2. Step 2: Convert to fraction form
    408,046,023/885,370,353.75 = 885,370,353.75/x
  3. Step 3: Cross multiply
    408,046,023x = 885,370,353.75 × 885,370,353.75
  4. Step 4: Simplify right side
    408,046,023x = 783,880,663,299,400,192
  5. Step 5: Solve for x
    x = 783,880,663,299,400,192/408,046,023
  6. Step 6: Final answer
    x = 1,921,059,437.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.