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Finding the Third Proportional to 852,698,402 and 1,865,872,060

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Solution

The third proportional to 852,698,402 and 1,865,872,060 is: 4,082,895,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,698,402 : 1,865,872,060 = 1,865,872,060 : x
  2. Step 2: Convert to fraction form
    852,698,402/1,865,872,060 = 1,865,872,060/x
  3. Step 3: Cross multiply
    852,698,402x = 1,865,872,060 × 1,865,872,060
  4. Step 4: Simplify right side
    852,698,402x = 3,481,478,544,288,643,584
  5. Step 5: Solve for x
    x = 3,481,478,544,288,643,584/852,698,402
  6. Step 6: Final answer
    x = 4,082,895,589.02

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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.