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Finding the Third Proportional to 1,049,468,628 and 2,296,634,124

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Solution

The third proportional to 1,049,468,628 and 2,296,634,124 is: 5,025,903,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,468,628 : 2,296,634,124 = 2,296,634,124 : x
  2. Step 2: Convert to fraction form
    1,049,468,628/2,296,634,124 = 2,296,634,124/x
  3. Step 3: Cross multiply
    1,049,468,628x = 2,296,634,124 × 2,296,634,124
  4. Step 4: Simplify right side
    1,049,468,628x = 5,274,528,299,521,247,232
  5. Step 5: Solve for x
    x = 5,274,528,299,521,247,232/1,049,468,628
  6. Step 6: Final answer
    x = 5,025,903,737.18

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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.