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Finding the Third Proportional to 14,599,413 and 31,507,113

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Solution

The third proportional to 14,599,413 and 31,507,113 is: 67,995,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,599,413 : 31,507,113 = 31,507,113 : x
  2. Step 2: Convert to fraction form
    14,599,413/31,507,113 = 31,507,113/x
  3. Step 3: Cross multiply
    14,599,413x = 31,507,113 × 31,507,113
  4. Step 4: Simplify right side
    14,599,413x = 992,698,169,594,769
  5. Step 5: Solve for x
    x = 992,698,169,594,769/14,599,413
  6. Step 6: Final answer
    x = 67,995,759.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.