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Finding the Third Proportional to 1,266,293,643 and 2,750,572,608

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Solution

The third proportional to 1,266,293,643 and 2,750,572,608 is: 5,974,640,806.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,293,643 : 2,750,572,608 = 2,750,572,608 : x
  2. Step 2: Convert to fraction form
    1,266,293,643/2,750,572,608 = 2,750,572,608/x
  3. Step 3: Cross multiply
    1,266,293,643x = 2,750,572,608 × 2,750,572,608
  4. Step 4: Simplify right side
    1,266,293,643x = 7,565,649,671,879,921,664
  5. Step 5: Solve for x
    x = 7,565,649,671,879,921,664/1,266,293,643
  6. Step 6: Final answer
    x = 5,974,640,806.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.