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Finding the Third Proportional to 779,821,406 and 1,733,999,746

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Solution

The third proportional to 779,821,406 and 1,733,999,746 is: 3,855,697,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,821,406 : 1,733,999,746 = 1,733,999,746 : x
  2. Step 2: Convert to fraction form
    779,821,406/1,733,999,746 = 1,733,999,746/x
  3. Step 3: Cross multiply
    779,821,406x = 1,733,999,746 × 1,733,999,746
  4. Step 4: Simplify right side
    779,821,406x = 3,006,755,119,128,064,512
  5. Step 5: Solve for x
    x = 3,006,755,119,128,064,512/779,821,406
  6. Step 6: Final answer
    x = 3,855,697,081.40

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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.