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Finding the Third Proportional to 47,507,138 and 101,732,740

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Solution

The third proportional to 47,507,138 and 101,732,740 is: 217,852,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,507,138 : 101,732,740 = 101,732,740 : x
  2. Step 2: Convert to fraction form
    47,507,138/101,732,740 = 101,732,740/x
  3. Step 3: Cross multiply
    47,507,138x = 101,732,740 × 101,732,740
  4. Step 4: Simplify right side
    47,507,138x = 10,349,550,387,907,600
  5. Step 5: Solve for x
    x = 10,349,550,387,907,600/47,507,138
  6. Step 6: Final answer
    x = 217,852,533.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.