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Finding the Third Proportional to 1,188,457,411 and 2,606,497,091

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Solution

The third proportional to 1,188,457,411 and 2,606,497,091 is: 5,716,508,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,457,411 : 2,606,497,091 = 2,606,497,091 : x
  2. Step 2: Convert to fraction form
    1,188,457,411/2,606,497,091 = 2,606,497,091/x
  3. Step 3: Cross multiply
    1,188,457,411x = 2,606,497,091 × 2,606,497,091
  4. Step 4: Simplify right side
    1,188,457,411x = 6,793,827,085,391,462,400
  5. Step 5: Solve for x
    x = 6,793,827,085,391,462,400/1,188,457,411
  6. Step 6: Final answer
    x = 5,716,508,662.83

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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.