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Finding the Third Proportional to 7,635,681 and 16,466,895

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Solution

The third proportional to 7,635,681 and 16,466,895 is: 35,512,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635,681 : 16,466,895 = 16,466,895 : x
  2. Step 2: Convert to fraction form
    7,635,681/16,466,895 = 16,466,895/x
  3. Step 3: Cross multiply
    7,635,681x = 16,466,895 × 16,466,895
  4. Step 4: Simplify right side
    7,635,681x = 271,158,630,941,025
  5. Step 5: Solve for x
    x = 271,158,630,941,025/7,635,681
  6. Step 6: Final answer
    x = 35,512,042.86

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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.