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Finding the Third Proportional to 14,785,427 and 32,358,117

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Solution

The third proportional to 14,785,427 and 32,358,117 is: 70,816,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785,427 : 32,358,117 = 32,358,117 : x
  2. Step 2: Convert to fraction form
    14,785,427/32,358,117 = 32,358,117/x
  3. Step 3: Cross multiply
    14,785,427x = 32,358,117 × 32,358,117
  4. Step 4: Simplify right side
    14,785,427x = 1,047,047,735,785,689
  5. Step 5: Solve for x
    x = 1,047,047,735,785,689/14,785,427
  6. Step 6: Final answer
    x = 70,816,198.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.