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Finding the Third Proportional to 1,711,341,070 and 3,606,505,767

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Solution

The third proportional to 1,711,341,070 and 3,606,505,767 is: 7,600,404,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711,341,070 : 3,606,505,767 = 3,606,505,767 : x
  2. Step 2: Convert to fraction form
    1,711,341,070/3,606,505,767 = 3,606,505,767/x
  3. Step 3: Cross multiply
    1,711,341,070x = 3,606,505,767 × 3,606,505,767
  4. Step 4: Simplify right side
    1,711,341,070x = 13,006,883,847,404,257,280
  5. Step 5: Solve for x
    x = 13,006,883,847,404,257,280/1,711,341,070
  6. Step 6: Final answer
    x = 7,600,404,194.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.