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Finding the Third Proportional to 32,081,513.06 and 69,276,642.19

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Solution

The third proportional to 32,081,513.06 and 69,276,642.19 is: 149,595,598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,081,513.06 : 69,276,642.19 = 69,276,642.19 : x
  2. Step 2: Convert to fraction form
    32,081,513.06/69,276,642.19 = 69,276,642.19/x
  3. Step 3: Cross multiply
    32,081,513.06x = 69,276,642.19 × 69,276,642.19
  4. Step 4: Simplify right side
    32,081,513.06x = 4,799,253,152,774,905
  5. Step 5: Solve for x
    x = 4,799,253,152,774,905/32,081,513.06
  6. Step 6: Final answer
    x = 149,595,598.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.