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Finding the Third Proportional to 2,685,706,569 and 5,779,559,949

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Solution

The third proportional to 2,685,706,569 and 5,779,559,949 is: 12,437,439,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685,706,569 : 5,779,559,949 = 5,779,559,949 : x
  2. Step 2: Convert to fraction form
    2,685,706,569/5,779,559,949 = 5,779,559,949/x
  3. Step 3: Cross multiply
    2,685,706,569x = 5,779,559,949 × 5,779,559,949
  4. Step 4: Simplify right side
    2,685,706,569x = 33,403,313,204,084,883,456
  5. Step 5: Solve for x
    x = 33,403,313,204,084,883,456/2,685,706,569
  6. Step 6: Final answer
    x = 12,437,439,588.39

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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.