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Finding the Third Proportional to 38,282,914.13 and 58,843,582.13

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Solution

The third proportional to 38,282,914.13 and 58,843,582.13 is: 90,446,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282,914.13 : 58,843,582.13 = 58,843,582.13 : x
  2. Step 2: Convert to fraction form
    38,282,914.13/58,843,582.13 = 58,843,582.13/x
  3. Step 3: Cross multiply
    38,282,914.13x = 58,843,582.13 × 58,843,582.13
  4. Step 4: Simplify right side
    38,282,914.13x = 3,462,567,157,301,619.50
  5. Step 5: Solve for x
    x = 3,462,567,157,301,619.50/38,282,914.13
  6. Step 6: Final answer
    x = 90,446,802.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.