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Finding the Third Proportional to 2,098,937,196 and 4,593,268,152

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Solution

The third proportional to 2,098,937,196 and 4,593,268,152 is: 10,051,807,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,937,196 : 4,593,268,152 = 4,593,268,152 : x
  2. Step 2: Convert to fraction form
    2,098,937,196/4,593,268,152 = 4,593,268,152/x
  3. Step 3: Cross multiply
    2,098,937,196x = 4,593,268,152 × 4,593,268,152
  4. Step 4: Simplify right side
    2,098,937,196x = 21,098,112,316,177,494,016
  5. Step 5: Solve for x
    x = 21,098,112,316,177,494,016/2,098,937,196
  6. Step 6: Final answer
    x = 10,051,807,341.54

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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.