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Finding the Third Proportional to 284,355,380,864 and 592,246,689,184

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Solution

The third proportional to 284,355,380,864 and 592,246,689,184 is: 1,233,513,288,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,355,380,864 : 592,246,689,184 = 592,246,689,184 : x
  2. Step 2: Convert to fraction form
    284,355,380,864/592,246,689,184 = 592,246,689,184/x
  3. Step 3: Cross multiply
    284,355,380,864x = 592,246,689,184 × 592,246,689,184
  4. Step 4: Simplify right side
    284,355,380,864x = 350,756,140,849,409,531,314,176
  5. Step 5: Solve for x
    x = 350,756,140,849,409,531,314,176/284,355,380,864
  6. Step 6: Final answer
    x = 1,233,513,288,138.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.