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Finding the Third Proportional to 19,785,476 and 31,473,500

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Solution

The third proportional to 19,785,476 and 31,473,500 is: 50,066,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785,476 : 31,473,500 = 31,473,500 : x
  2. Step 2: Convert to fraction form
    19,785,476/31,473,500 = 31,473,500/x
  3. Step 3: Cross multiply
    19,785,476x = 31,473,500 × 31,473,500
  4. Step 4: Simplify right side
    19,785,476x = 990,581,202,250,000
  5. Step 5: Solve for x
    x = 990,581,202,250,000/19,785,476
  6. Step 6: Final answer
    x = 50,066,078.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.