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Finding the Third Proportional to 47,164,023 and 74,997,622.50

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Solution

The third proportional to 47,164,023 and 74,997,622.50 is: 119,257,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,164,023 : 74,997,622.50 = 74,997,622.50 : x
  2. Step 2: Convert to fraction form
    47,164,023/74,997,622.50 = 74,997,622.50/x
  3. Step 3: Cross multiply
    47,164,023x = 74,997,622.50 × 74,997,622.50
  4. Step 4: Simplify right side
    47,164,023x = 5,624,643,380,652,506
  5. Step 5: Solve for x
    x = 5,624,643,380,652,506/47,164,023
  6. Step 6: Final answer
    x = 119,257,073.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.