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Finding the Third Proportional to 238,164,784 and 510,789,632

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Solution

The third proportional to 238,164,784 and 510,789,632 is: 1,095,485,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,164,784 : 510,789,632 = 510,789,632 : x
  2. Step 2: Convert to fraction form
    238,164,784/510,789,632 = 510,789,632/x
  3. Step 3: Cross multiply
    238,164,784x = 510,789,632 × 510,789,632
  4. Step 4: Simplify right side
    238,164,784x = 260,906,048,158,695,424
  5. Step 5: Solve for x
    x = 260,906,048,158,695,424/238,164,784
  6. Step 6: Final answer
    x = 1,095,485,418.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.