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Finding the Third Proportional to 72,677,970 and 109,070,109.75

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Solution

The third proportional to 72,677,970 and 109,070,109.75 is: 163,684,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,677,970 : 109,070,109.75 = 109,070,109.75 : x
  2. Step 2: Convert to fraction form
    72,677,970/109,070,109.75 = 109,070,109.75/x
  3. Step 3: Cross multiply
    72,677,970x = 109,070,109.75 × 109,070,109.75
  4. Step 4: Simplify right side
    72,677,970x = 11,896,288,840,877,046
  5. Step 5: Solve for x
    x = 11,896,288,840,877,046/72,677,970
  6. Step 6: Final answer
    x = 163,684,935.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.