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Finding the Third Proportional to 1,559,190,674 and 3,466,991,788

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Solution

The third proportional to 1,559,190,674 and 3,466,991,788 is: 7,709,148,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559,190,674 : 3,466,991,788 = 3,466,991,788 : x
  2. Step 2: Convert to fraction form
    1,559,190,674/3,466,991,788 = 3,466,991,788/x
  3. Step 3: Cross multiply
    1,559,190,674x = 3,466,991,788 × 3,466,991,788
  4. Step 4: Simplify right side
    1,559,190,674x = 12,020,032,058,059,436,032
  5. Step 5: Solve for x
    x = 12,020,032,058,059,436,032/1,559,190,674
  6. Step 6: Final answer
    x = 7,709,148,251.40

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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.