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Finding the Third Proportional to 52,499,835 and 82,169,248.50

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Solution

The third proportional to 52,499,835 and 82,169,248.50 is: 128,605,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,499,835 : 82,169,248.50 = 82,169,248.50 : x
  2. Step 2: Convert to fraction form
    52,499,835/82,169,248.50 = 82,169,248.50/x
  3. Step 3: Cross multiply
    52,499,835x = 82,169,248.50 × 82,169,248.50
  4. Step 4: Simplify right side
    52,499,835x = 6,751,785,399,054,752
  5. Step 5: Solve for x
    x = 6,751,785,399,054,752/52,499,835
  6. Step 6: Final answer
    x = 128,605,840.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.