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Finding the Third Proportional to 2,399,646,114 and 3,739,765,491

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Solution

The third proportional to 2,399,646,114 and 3,739,765,491 is: 5,828,295,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399,646,114 : 3,739,765,491 = 3,739,765,491 : x
  2. Step 2: Convert to fraction form
    2,399,646,114/3,739,765,491 = 3,739,765,491/x
  3. Step 3: Cross multiply
    2,399,646,114x = 3,739,765,491 × 3,739,765,491
  4. Step 4: Simplify right side
    2,399,646,114x = 13,985,845,927,674,470,400
  5. Step 5: Solve for x
    x = 13,985,845,927,674,470,400/2,399,646,114
  6. Step 6: Final answer
    x = 5,828,295,199.90

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.