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Finding the Third Proportional to 39,696,571.13 and 85,990,541.63

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Solution

The third proportional to 39,696,571.13 and 85,990,541.63 is: 186,272,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,696,571.13 : 85,990,541.63 = 85,990,541.63 : x
  2. Step 2: Convert to fraction form
    39,696,571.13/85,990,541.63 = 85,990,541.63/x
  3. Step 3: Cross multiply
    39,696,571.13x = 85,990,541.63 × 85,990,541.63
  4. Step 4: Simplify right side
    39,696,571.13x = 7,394,373,248,960,858
  5. Step 5: Solve for x
    x = 7,394,373,248,960,858/39,696,571.13
  6. Step 6: Final answer
    x = 186,272,341.40

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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.