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Finding the Third Proportional to 51,570,435 and 77,355,660

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Solution

The third proportional to 51,570,435 and 77,355,660 is: 116,033,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,570,435 : 77,355,660 = 77,355,660 : x
  2. Step 2: Convert to fraction form
    51,570,435/77,355,660 = 77,355,660/x
  3. Step 3: Cross multiply
    51,570,435x = 77,355,660 × 77,355,660
  4. Step 4: Simplify right side
    51,570,435x = 5,983,898,134,035,600
  5. Step 5: Solve for x
    x = 5,983,898,134,035,600/51,570,435
  6. Step 6: Final answer
    x = 116,033,501.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.