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Finding the Third Proportional to 53,166,946 and 79,661,724

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Solution

The third proportional to 53,166,946 and 79,661,724 is: 119,359,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,166,946 : 79,661,724 = 79,661,724 : x
  2. Step 2: Convert to fraction form
    53,166,946/79,661,724 = 79,661,724/x
  3. Step 3: Cross multiply
    53,166,946x = 79,661,724 × 79,661,724
  4. Step 4: Simplify right side
    53,166,946x = 6,345,990,270,652,176
  5. Step 5: Solve for x
    x = 6,345,990,270,652,176/53,166,946
  6. Step 6: Final answer
    x = 119,359,691.46

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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.