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Finding the Third Proportional to 11,300,688 and 24,527,849.63

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Solution

The third proportional to 11,300,688 and 24,527,849.63 is: 53,237,060.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300,688 : 24,527,849.63 = 24,527,849.63 : x
  2. Step 2: Convert to fraction form
    11,300,688/24,527,849.63 = 24,527,849.63/x
  3. Step 3: Cross multiply
    11,300,688x = 24,527,849.63 × 24,527,849.63
  4. Step 4: Simplify right side
    11,300,688x = 601,615,407,226,612.62
  5. Step 5: Solve for x
    x = 601,615,407,226,612.62/11,300,688
  6. Step 6: Final answer
    x = 53,237,060.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.