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Finding the Third Proportional to 20,053,641 and 30,550,477.50

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Solution

The third proportional to 20,053,641 and 30,550,477.50 is: 46,541,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,053,641 : 30,550,477.50 = 30,550,477.50 : x
  2. Step 2: Convert to fraction form
    20,053,641/30,550,477.50 = 30,550,477.50/x
  3. Step 3: Cross multiply
    20,053,641x = 30,550,477.50 × 30,550,477.50
  4. Step 4: Simplify right side
    20,053,641x = 933,331,675,478,006.25
  5. Step 5: Solve for x
    x = 933,331,675,478,006.25/20,053,641
  6. Step 6: Final answer
    x = 46,541,756.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.