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Finding the Third Proportional to 6,530,215 and 15,249,121

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Solution

The third proportional to 6,530,215 and 15,249,121 is: 35,609,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530,215 : 15,249,121 = 15,249,121 : x
  2. Step 2: Convert to fraction form
    6,530,215/15,249,121 = 15,249,121/x
  3. Step 3: Cross multiply
    6,530,215x = 15,249,121 × 15,249,121
  4. Step 4: Simplify right side
    6,530,215x = 232,535,691,272,641
  5. Step 5: Solve for x
    x = 232,535,691,272,641/6,530,215
  6. Step 6: Final answer
    x = 35,609,193.77

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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.