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Finding the Third Proportional to 852,698,434 and 1,865,872,123

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Solution

The third proportional to 852,698,434 and 1,865,872,123 is: 4,082,895,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,698,434 : 1,865,872,123 = 1,865,872,123 : x
  2. Step 2: Convert to fraction form
    852,698,434/1,865,872,123 = 1,865,872,123/x
  3. Step 3: Cross multiply
    852,698,434x = 1,865,872,123 × 1,865,872,123
  4. Step 4: Simplify right side
    852,698,434x = 3,481,478,779,388,527,104
  5. Step 5: Solve for x
    x = 3,481,478,779,388,527,104/852,698,434
  6. Step 6: Final answer
    x = 4,082,895,711.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.