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Finding the Third Proportional to 48,484,772,296 and 113,282,305,315

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Solution

The third proportional to 48,484,772,296 and 113,282,305,315 is: 264,678,580,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,484,772,296 : 113,282,305,315 = 113,282,305,315 : x
  2. Step 2: Convert to fraction form
    48,484,772,296/113,282,305,315 = 113,282,305,315/x
  3. Step 3: Cross multiply
    48,484,772,296x = 113,282,305,315 × 113,282,305,315
  4. Step 4: Simplify right side
    48,484,772,296x = 12,832,880,697,480,876,916,736
  5. Step 5: Solve for x
    x = 12,832,880,697,480,876,916,736/48,484,772,296
  6. Step 6: Final answer
    x = 264,678,580,300.14

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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.