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Finding the Third Proportional to 47,976,222 and 70,164,999

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Solution

The third proportional to 47,976,222 and 70,164,999 is: 102,615,980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,976,222 : 70,164,999 = 70,164,999 : x
  2. Step 2: Convert to fraction form
    47,976,222/70,164,999 = 70,164,999/x
  3. Step 3: Cross multiply
    47,976,222x = 70,164,999 × 70,164,999
  4. Step 4: Simplify right side
    47,976,222x = 4,923,127,084,670,001
  5. Step 5: Solve for x
    x = 4,923,127,084,670,001/47,976,222
  6. Step 6: Final answer
    x = 102,615,980.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.