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Finding the Third Proportional to 14,925,283.50 and 31,355,214

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Solution

The third proportional to 14,925,283.50 and 31,355,214 is: 65,871,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,925,283.50 : 31,355,214 = 31,355,214 : x
  2. Step 2: Convert to fraction form
    14,925,283.50/31,355,214 = 31,355,214/x
  3. Step 3: Cross multiply
    14,925,283.50x = 31,355,214 × 31,355,214
  4. Step 4: Simplify right side
    14,925,283.50x = 983,149,444,985,796
  5. Step 5: Solve for x
    x = 983,149,444,985,796/14,925,283.50
  6. Step 6: Final answer
    x = 65,871,408.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.