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Finding the Third Proportional to 846,838,025 and 1,763,268,860

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Solution

The third proportional to 846,838,025 and 1,763,268,860 is: 3,671,442,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,838,025 : 1,763,268,860 = 1,763,268,860 : x
  2. Step 2: Convert to fraction form
    846,838,025/1,763,268,860 = 1,763,268,860/x
  3. Step 3: Cross multiply
    846,838,025x = 1,763,268,860 × 1,763,268,860
  4. Step 4: Simplify right side
    846,838,025x = 3,109,117,072,645,699,584
  5. Step 5: Solve for x
    x = 3,109,117,072,645,699,584/846,838,025
  6. Step 6: Final answer
    x = 3,671,442,449.28

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.