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Finding the Third Proportional to 39,762,646 and 86,968,364

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Solution

The third proportional to 39,762,646 and 86,968,364 is: 190,216,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,762,646 : 86,968,364 = 86,968,364 : x
  2. Step 2: Convert to fraction form
    39,762,646/86,968,364 = 86,968,364/x
  3. Step 3: Cross multiply
    39,762,646x = 86,968,364 × 86,968,364
  4. Step 4: Simplify right side
    39,762,646x = 7,563,496,336,836,496
  5. Step 5: Solve for x
    x = 7,563,496,336,836,496/39,762,646
  6. Step 6: Final answer
    x = 190,216,122.36

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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.