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Finding the Third Proportional to 36,456,543 and 53,300,739.50

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Solution

The third proportional to 36,456,543 and 53,300,739.50 is: 77,927,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,456,543 : 53,300,739.50 = 53,300,739.50 : x
  2. Step 2: Convert to fraction form
    36,456,543/53,300,739.50 = 53,300,739.50/x
  3. Step 3: Cross multiply
    36,456,543x = 53,300,739.50 × 53,300,739.50
  4. Step 4: Simplify right side
    36,456,543x = 2,840,968,831,246,860
  5. Step 5: Solve for x
    x = 2,840,968,831,246,860/36,456,543
  6. Step 6: Final answer
    x = 77,927,543.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.