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Finding the Third Proportional to 738,227,738 and 1,742,657,144

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Solution

The third proportional to 738,227,738 and 1,742,657,144 is: 4,113,708,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,227,738 : 1,742,657,144 = 1,742,657,144 : x
  2. Step 2: Convert to fraction form
    738,227,738/1,742,657,144 = 1,742,657,144/x
  3. Step 3: Cross multiply
    738,227,738x = 1,742,657,144 × 1,742,657,144
  4. Step 4: Simplify right side
    738,227,738x = 3,036,853,921,534,236,672
  5. Step 5: Solve for x
    x = 3,036,853,921,534,236,672/738,227,738
  6. Step 6: Final answer
    x = 4,113,708,771.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.