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Finding the Third Proportional to 6,136,461 and 13,350,317.63

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Solution

The third proportional to 6,136,461 and 13,350,317.63 is: 29,044,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136,461 : 13,350,317.63 = 13,350,317.63 : x
  2. Step 2: Convert to fraction form
    6,136,461/13,350,317.63 = 13,350,317.63/x
  3. Step 3: Cross multiply
    6,136,461x = 13,350,317.63 × 13,350,317.63
  4. Step 4: Simplify right side
    6,136,461x = 178,230,980,688,385.62
  5. Step 5: Solve for x
    x = 178,230,980,688,385.62/6,136,461
  6. Step 6: Final answer
    x = 29,044,587.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.