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Finding the Third Proportional to 2,685,706,599 and 5,779,560,006

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Solution

The third proportional to 2,685,706,599 and 5,779,560,006 is: 12,437,439,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685,706,599 : 5,779,560,006 = 5,779,560,006 : x
  2. Step 2: Convert to fraction form
    2,685,706,599/5,779,560,006 = 5,779,560,006/x
  3. Step 3: Cross multiply
    2,685,706,599x = 5,779,560,006 × 5,779,560,006
  4. Step 4: Simplify right side
    2,685,706,599x = 33,403,313,862,954,721,280
  5. Step 5: Solve for x
    x = 33,403,313,862,954,721,280/2,685,706,599
  6. Step 6: Final answer
    x = 12,437,439,694.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.