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Finding the Third Proportional to 16,411,424 and 35,712,640

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Solution

The third proportional to 16,411,424 and 35,712,640 is: 77,713,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411,424 : 35,712,640 = 35,712,640 : x
  2. Step 2: Convert to fraction form
    16,411,424/35,712,640 = 35,712,640/x
  3. Step 3: Cross multiply
    16,411,424x = 35,712,640 × 35,712,640
  4. Step 4: Simplify right side
    16,411,424x = 1,275,392,655,769,600
  5. Step 5: Solve for x
    x = 1,275,392,655,769,600/16,411,424
  6. Step 6: Final answer
    x = 77,713,710.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.