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Finding the Third Proportional to 30,918,132 and 67,163,796

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Solution

The third proportional to 30,918,132 and 67,163,796 is: 145,900,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,918,132 : 67,163,796 = 67,163,796 : x
  2. Step 2: Convert to fraction form
    30,918,132/67,163,796 = 67,163,796/x
  3. Step 3: Cross multiply
    30,918,132x = 67,163,796 × 67,163,796
  4. Step 4: Simplify right side
    30,918,132x = 4,510,975,493,129,616
  5. Step 5: Solve for x
    x = 4,510,975,493,129,616/30,918,132
  6. Step 6: Final answer
    x = 145,900,647.98

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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.