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Finding the Third Proportional to 30,918,136 and 67,163,804

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Solution

The third proportional to 30,918,136 and 67,163,804 is: 145,900,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,918,136 : 67,163,804 = 67,163,804 : x
  2. Step 2: Convert to fraction form
    30,918,136/67,163,804 = 67,163,804/x
  3. Step 3: Cross multiply
    30,918,136x = 67,163,804 × 67,163,804
  4. Step 4: Simplify right side
    30,918,136x = 4,510,976,567,750,416
  5. Step 5: Solve for x
    x = 4,510,976,567,750,416/30,918,136
  6. Step 6: Final answer
    x = 145,900,663.86

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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.