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Finding the Third Proportional to 3,148,393,832 and 6,889,878,732

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Solution

The third proportional to 3,148,393,832 and 6,889,878,732 is: 15,077,665,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,393,832 : 6,889,878,732 = 6,889,878,732 : x
  2. Step 2: Convert to fraction form
    3,148,393,832/6,889,878,732 = 6,889,878,732/x
  3. Step 3: Cross multiply
    3,148,393,832x = 6,889,878,732 × 6,889,878,732
  4. Step 4: Simplify right side
    3,148,393,832x = 47,470,428,941,665,927,168
  5. Step 5: Solve for x
    x = 47,470,428,941,665,927,168/3,148,393,832
  6. Step 6: Final answer
    x = 15,077,665,462.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.