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Finding the Third Proportional to 2,685,707,496 and 5,779,561,788

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Solution

The third proportional to 2,685,707,496 and 5,779,561,788 is: 12,437,443,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685,707,496 : 5,779,561,788 = 5,779,561,788 : x
  2. Step 2: Convert to fraction form
    2,685,707,496/5,779,561,788 = 5,779,561,788/x
  3. Step 3: Cross multiply
    2,685,707,496x = 5,779,561,788 × 5,779,561,788
  4. Step 4: Simplify right side
    2,685,707,496x = 33,403,334,461,309,755,392
  5. Step 5: Solve for x
    x = 33,403,334,461,309,755,392/2,685,707,496
  6. Step 6: Final answer
    x = 12,437,443,210.42

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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.