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Finding the Third Proportional to 39,461,784 and 86,094,736

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Solution

The third proportional to 39,461,784 and 86,094,736 is: 187,834,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,461,784 : 86,094,736 = 86,094,736 : x
  2. Step 2: Convert to fraction form
    39,461,784/86,094,736 = 86,094,736/x
  3. Step 3: Cross multiply
    39,461,784x = 86,094,736 × 86,094,736
  4. Step 4: Simplify right side
    39,461,784x = 7,412,303,566,909,696
  5. Step 5: Solve for x
    x = 7,412,303,566,909,696/39,461,784
  6. Step 6: Final answer
    x = 187,834,984.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.