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Finding the Third Proportional to 618,110,082 and 1,309,913,316

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Solution

The third proportional to 618,110,082 and 1,309,913,316 is: 2,775,998,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,110,082 : 1,309,913,316 = 1,309,913,316 : x
  2. Step 2: Convert to fraction form
    618,110,082/1,309,913,316 = 1,309,913,316/x
  3. Step 3: Cross multiply
    618,110,082x = 1,309,913,316 × 1,309,913,316
  4. Step 4: Simplify right side
    618,110,082x = 1,715,872,895,434,115,840
  5. Step 5: Solve for x
    x = 1,715,872,895,434,115,840/618,110,082
  6. Step 6: Final answer
    x = 2,775,998,880.14

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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.