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Finding the Third Proportional to 31,243,488 and 64,009,128

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Solution

The third proportional to 31,243,488 and 64,009,128 is: 131,136,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,243,488 : 64,009,128 = 64,009,128 : x
  2. Step 2: Convert to fraction form
    31,243,488/64,009,128 = 64,009,128/x
  3. Step 3: Cross multiply
    31,243,488x = 64,009,128 × 64,009,128
  4. Step 4: Simplify right side
    31,243,488x = 4,097,168,467,320,384
  5. Step 5: Solve for x
    x = 4,097,168,467,320,384/31,243,488
  6. Step 6: Final answer
    x = 131,136,717.75

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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.