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Finding the Third Proportional to 35,949,970 and 78,625,748

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Solution

The third proportional to 35,949,970 and 78,625,748 is: 171,961,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,949,970 : 78,625,748 = 78,625,748 : x
  2. Step 2: Convert to fraction form
    35,949,970/78,625,748 = 78,625,748/x
  3. Step 3: Cross multiply
    35,949,970x = 78,625,748 × 78,625,748
  4. Step 4: Simplify right side
    35,949,970x = 6,182,008,248,559,504
  5. Step 5: Solve for x
    x = 6,182,008,248,559,504/35,949,970
  6. Step 6: Final answer
    x = 171,961,429.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.