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Finding the Third Proportional to 31,243,485 and 64,009,122

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Solution

The third proportional to 31,243,485 and 64,009,122 is: 131,136,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,243,485 : 64,009,122 = 64,009,122 : x
  2. Step 2: Convert to fraction form
    31,243,485/64,009,122 = 64,009,122/x
  3. Step 3: Cross multiply
    31,243,485x = 64,009,122 × 64,009,122
  4. Step 4: Simplify right side
    31,243,485x = 4,097,167,699,210,884
  5. Step 5: Solve for x
    x = 4,097,167,699,210,884/31,243,485
  6. Step 6: Final answer
    x = 131,136,705.76

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.