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Finding the Third Proportional to 1,215,959,196.94 and 2,465,753,880.94

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Solution

The third proportional to 1,215,959,196.94 and 2,465,753,880.94 is: 5,000,120,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,959,196.94 : 2,465,753,880.94 = 2,465,753,880.94 : x
  2. Step 2: Convert to fraction form
    1,215,959,196.94/2,465,753,880.94 = 2,465,753,880.94/x
  3. Step 3: Cross multiply
    1,215,959,196.94x = 2,465,753,880.94 × 2,465,753,880.94
  4. Step 4: Simplify right side
    1,215,959,196.94x = 6,079,942,201,358,343,168
  5. Step 5: Solve for x
    x = 6,079,942,201,358,343,168/1,215,959,196.94
  6. Step 6: Final answer
    x = 5,000,120,248.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.