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Finding the Third Proportional to 11,495,148 and 19,157,812.50

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Solution

The third proportional to 11,495,148 and 19,157,812.50 is: 31,928,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495,148 : 19,157,812.50 = 19,157,812.50 : x
  2. Step 2: Convert to fraction form
    11,495,148/19,157,812.50 = 19,157,812.50/x
  3. Step 3: Cross multiply
    11,495,148x = 19,157,812.50 × 19,157,812.50
  4. Step 4: Simplify right side
    11,495,148x = 367,021,779,785,156.25
  5. Step 5: Solve for x
    x = 367,021,779,785,156.25/11,495,148
  6. Step 6: Final answer
    x = 31,928,408.38

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.