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Finding the Third Proportional to 779,821,403.63 and 1,733,999,741.63

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Solution

The third proportional to 779,821,403.63 and 1,733,999,741.63 is: 3,855,697,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,821,403.63 : 1,733,999,741.63 = 1,733,999,741.63 : x
  2. Step 2: Convert to fraction form
    779,821,403.63/1,733,999,741.63 = 1,733,999,741.63/x
  3. Step 3: Cross multiply
    779,821,403.63x = 1,733,999,741.63 × 1,733,999,741.63
  4. Step 4: Simplify right side
    779,821,403.63x = 3,006,755,103,955,566,592
  5. Step 5: Solve for x
    x = 3,006,755,103,955,566,592/779,821,403.63
  6. Step 6: Final answer
    x = 3,855,697,073.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.