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Finding the Third Proportional to 6,210,623 and 13,514,746

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Solution

The third proportional to 6,210,623 and 13,514,746 is: 29,409,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210,623 : 13,514,746 = 13,514,746 : x
  2. Step 2: Convert to fraction form
    6,210,623/13,514,746 = 13,514,746/x
  3. Step 3: Cross multiply
    6,210,623x = 13,514,746 × 13,514,746
  4. Step 4: Simplify right side
    6,210,623x = 182,648,359,444,516
  5. Step 5: Solve for x
    x = 182,648,359,444,516/6,210,623
  6. Step 6: Final answer
    x = 29,409,023.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.