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Finding the Third Proportional to 31,237,046 and 63,996,232

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Solution

The third proportional to 31,237,046 and 63,996,232 is: 131,110,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,237,046 : 63,996,232 = 63,996,232 : x
  2. Step 2: Convert to fraction form
    31,237,046/63,996,232 = 63,996,232/x
  3. Step 3: Cross multiply
    31,237,046x = 63,996,232 × 63,996,232
  4. Step 4: Simplify right side
    31,237,046x = 4,095,517,710,197,824
  5. Step 5: Solve for x
    x = 4,095,517,710,197,824/31,237,046
  6. Step 6: Final answer
    x = 131,110,915.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.