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Finding the Third Proportional to 13,426,095 and 20,648,835

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Solution

The third proportional to 13,426,095 and 20,648,835 is: 31,757,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426,095 : 20,648,835 = 20,648,835 : x
  2. Step 2: Convert to fraction form
    13,426,095/20,648,835 = 20,648,835/x
  3. Step 3: Cross multiply
    13,426,095x = 20,648,835 × 20,648,835
  4. Step 4: Simplify right side
    13,426,095x = 426,374,386,857,225
  5. Step 5: Solve for x
    x = 426,374,386,857,225/13,426,095
  6. Step 6: Final answer
    x = 31,757,140.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.