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Finding the Third Proportional to 618,110,089 and 1,309,913,330

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Solution

The third proportional to 618,110,089 and 1,309,913,330 is: 2,775,998,908.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,110,089 : 1,309,913,330 = 1,309,913,330 : x
  2. Step 2: Convert to fraction form
    618,110,089/1,309,913,330 = 1,309,913,330/x
  3. Step 3: Cross multiply
    618,110,089x = 1,309,913,330 × 1,309,913,330
  4. Step 4: Simplify right side
    618,110,089x = 1,715,872,932,111,688,960
  5. Step 5: Solve for x
    x = 1,715,872,932,111,688,960/618,110,089
  6. Step 6: Final answer
    x = 2,775,998,908.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.