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Finding the Third Proportional to 150,864,562,944 and 328,513,752,432

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Solution

The third proportional to 150,864,562,944 and 328,513,752,432 is: 715,352,123,990.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,864,562,944 : 328,513,752,432 = 328,513,752,432 : x
  2. Step 2: Convert to fraction form
    150,864,562,944/328,513,752,432 = 328,513,752,432/x
  3. Step 3: Cross multiply
    150,864,562,944x = 328,513,752,432 × 328,513,752,432
  4. Step 4: Simplify right side
    150,864,562,944x = 107,921,285,536,953,378,275,328
  5. Step 5: Solve for x
    x = 107,921,285,536,953,378,275,328/150,864,562,944
  6. Step 6: Final answer
    x = 715,352,123,990.93

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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.