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Finding the Third Proportional to 10,466,169 and 14,136,277.50

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Solution

The third proportional to 10,466,169 and 14,136,277.50 is: 19,093,360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466,169 : 14,136,277.50 = 14,136,277.50 : x
  2. Step 2: Convert to fraction form
    10,466,169/14,136,277.50 = 14,136,277.50/x
  3. Step 3: Cross multiply
    10,466,169x = 14,136,277.50 × 14,136,277.50
  4. Step 4: Simplify right side
    10,466,169x = 199,834,341,557,006.25
  5. Step 5: Solve for x
    x = 199,834,341,557,006.25/10,466,169
  6. Step 6: Final answer
    x = 19,093,360.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.