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Finding the Third Proportional to 229,853,710,210 and 537,041,981,368

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Solution

The third proportional to 229,853,710,210 and 537,041,981,368 is: 1,254,772,391,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,853,710,210 : 537,041,981,368 = 537,041,981,368 : x
  2. Step 2: Convert to fraction form
    229,853,710,210/537,041,981,368 = 537,041,981,368/x
  3. Step 3: Cross multiply
    229,853,710,210x = 537,041,981,368 × 537,041,981,368
  4. Step 4: Simplify right side
    229,853,710,210x = 288,414,089,751,667,247,415,296
  5. Step 5: Solve for x
    x = 288,414,089,751,667,247,415,296/229,853,710,210
  6. Step 6: Final answer
    x = 1,254,772,391,919.04

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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.