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Finding the Third Proportional to 229,853,710,230 and 537,041,981,418

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Solution

The third proportional to 229,853,710,230 and 537,041,981,418 is: 1,254,772,392,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,853,710,230 : 537,041,981,418 = 537,041,981,418 : x
  2. Step 2: Convert to fraction form
    229,853,710,230/537,041,981,418 = 537,041,981,418/x
  3. Step 3: Cross multiply
    229,853,710,230x = 537,041,981,418 × 537,041,981,418
  4. Step 4: Simplify right side
    229,853,710,230x = 288,414,089,805,371,451,375,616
  5. Step 5: Solve for x
    x = 288,414,089,805,371,451,375,616/229,853,710,230
  6. Step 6: Final answer
    x = 1,254,772,392,043.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.