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Finding the Third Proportional to 523,641,230 and 1,139,218,572

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Solution

The third proportional to 523,641,230 and 1,139,218,572 is: 2,478,450,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,641,230 : 1,139,218,572 = 1,139,218,572 : x
  2. Step 2: Convert to fraction form
    523,641,230/1,139,218,572 = 1,139,218,572/x
  3. Step 3: Cross multiply
    523,641,230x = 1,139,218,572 × 1,139,218,572
  4. Step 4: Simplify right side
    523,641,230x = 1,297,818,954,789,719,296
  5. Step 5: Solve for x
    x = 1,297,818,954,789,719,296/523,641,230
  6. Step 6: Final answer
    x = 2,478,450,665.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.