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Finding the Third Proportional to 126,766,362 and 277,834,668

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Solution

The third proportional to 126,766,362 and 277,834,668 is: 608,932,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,766,362 : 277,834,668 = 277,834,668 : x
  2. Step 2: Convert to fraction form
    126,766,362/277,834,668 = 277,834,668/x
  3. Step 3: Cross multiply
    126,766,362x = 277,834,668 × 277,834,668
  4. Step 4: Simplify right side
    126,766,362x = 77,192,102,742,670,224
  5. Step 5: Solve for x
    x = 77,192,102,742,670,224/126,766,362
  6. Step 6: Final answer
    x = 608,932,066.24

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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.