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Finding the Third Proportional to 863,635,306 and 1,880,613,332

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Solution

The third proportional to 863,635,306 and 1,880,613,332 is: 4,095,138,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,635,306 : 1,880,613,332 = 1,880,613,332 : x
  2. Step 2: Convert to fraction form
    863,635,306/1,880,613,332 = 1,880,613,332/x
  3. Step 3: Cross multiply
    863,635,306x = 1,880,613,332 × 1,880,613,332
  4. Step 4: Simplify right side
    863,635,306x = 3,536,706,504,496,142,336
  5. Step 5: Solve for x
    x = 3,536,706,504,496,142,336/863,635,306
  6. Step 6: Final answer
    x = 4,095,138,862.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.