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Finding the Third Proportional to 13,053,729 and 28,276,962.50

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Solution

The third proportional to 13,053,729 and 28,276,962.50 is: 61,253,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053,729 : 28,276,962.50 = 28,276,962.50 : x
  2. Step 2: Convert to fraction form
    13,053,729/28,276,962.50 = 28,276,962.50/x
  3. Step 3: Cross multiply
    13,053,729x = 28,276,962.50 × 28,276,962.50
  4. Step 4: Simplify right side
    13,053,729x = 799,586,608,226,406.25
  5. Step 5: Solve for x
    x = 799,586,608,226,406.25/13,053,729
  6. Step 6: Final answer
    x = 61,253,501.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.