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Finding the Third Proportional to 9,514,852.31 and 14,495,339.81

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Solution

The third proportional to 9,514,852.31 and 14,495,339.81 is: 22,082,831.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514,852.31 : 14,495,339.81 = 14,495,339.81 : x
  2. Step 2: Convert to fraction form
    9,514,852.31/14,495,339.81 = 14,495,339.81/x
  3. Step 3: Cross multiply
    9,514,852.31x = 14,495,339.81 × 14,495,339.81
  4. Step 4: Simplify right side
    9,514,852.31x = 210,114,876,279,847.53
  5. Step 5: Solve for x
    x = 210,114,876,279,847.53/9,514,852.31
  6. Step 6: Final answer
    x = 22,082,831.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.