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Finding the Third Proportional to 27,782,709 and 31,104,213

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Solution

The third proportional to 27,782,709 and 31,104,213 is: 34,822,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782,709 : 31,104,213 = 31,104,213 : x
  2. Step 2: Convert to fraction form
    27,782,709/31,104,213 = 31,104,213/x
  3. Step 3: Cross multiply
    27,782,709x = 31,104,213 × 31,104,213
  4. Step 4: Simplify right side
    27,782,709x = 967,472,066,349,369
  5. Step 5: Solve for x
    x = 967,472,066,349,369/27,782,709
  6. Step 6: Final answer
    x = 34,822,812.50

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.