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Finding the Third Proportional to 2,685,706,568 and 5,779,559,946

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Solution

The third proportional to 2,685,706,568 and 5,779,559,946 is: 12,437,439,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685,706,568 : 5,779,559,946 = 5,779,559,946 : x
  2. Step 2: Convert to fraction form
    2,685,706,568/5,779,559,946 = 5,779,559,946/x
  3. Step 3: Cross multiply
    2,685,706,568x = 5,779,559,946 × 5,779,559,946
  4. Step 4: Simplify right side
    2,685,706,568x = 33,403,313,169,407,524,864
  5. Step 5: Solve for x
    x = 33,403,313,169,407,524,864/2,685,706,568
  6. Step 6: Final answer
    x = 12,437,439,580.11

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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.