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Finding the Third Proportional to 31,097,746 and 64,182,740

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Solution

The third proportional to 31,097,746 and 64,182,740 is: 132,466,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097,746 : 64,182,740 = 64,182,740 : x
  2. Step 2: Convert to fraction form
    31,097,746/64,182,740 = 64,182,740/x
  3. Step 3: Cross multiply
    31,097,746x = 64,182,740 × 64,182,740
  4. Step 4: Simplify right side
    31,097,746x = 4,119,424,113,907,600
  5. Step 5: Solve for x
    x = 4,119,424,113,907,600/31,097,746
  6. Step 6: Final answer
    x = 132,466,967.67

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.