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Finding the Third Proportional to 6,530,214 and 15,249,118.50

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Solution

The third proportional to 6,530,214 and 15,249,118.50 is: 35,609,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530,214 : 15,249,118.50 = 15,249,118.50 : x
  2. Step 2: Convert to fraction form
    6,530,214/15,249,118.50 = 15,249,118.50/x
  3. Step 3: Cross multiply
    6,530,214x = 15,249,118.50 × 15,249,118.50
  4. Step 4: Simplify right side
    6,530,214x = 232,535,615,027,042.25
  5. Step 5: Solve for x
    x = 232,535,615,027,042.25/6,530,214
  6. Step 6: Final answer
    x = 35,609,187.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.