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Finding the Third Proportional to 6,615,681 and 14,188,585.13

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Solution

The third proportional to 6,615,681 and 14,188,585.13 is: 30,430,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615,681 : 14,188,585.13 = 14,188,585.13 : x
  2. Step 2: Convert to fraction form
    6,615,681/14,188,585.13 = 14,188,585.13/x
  3. Step 3: Cross multiply
    6,615,681x = 14,188,585.13 × 14,188,585.13
  4. Step 4: Simplify right side
    6,615,681x = 201,315,947,849,371.25
  5. Step 5: Solve for x
    x = 201,315,947,849,371.25/6,615,681
  6. Step 6: Final answer
    x = 30,430,117.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.