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Finding the Third Proportional to 6,671,912 and 14,642,944

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Solution

The third proportional to 6,671,912 and 14,642,944 is: 32,137,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671,912 : 14,642,944 = 14,642,944 : x
  2. Step 2: Convert to fraction form
    6,671,912/14,642,944 = 14,642,944/x
  3. Step 3: Cross multiply
    6,671,912x = 14,642,944 × 14,642,944
  4. Step 4: Simplify right side
    6,671,912x = 214,415,808,987,136
  5. Step 5: Solve for x
    x = 214,415,808,987,136/6,671,912
  6. Step 6: Final answer
    x = 32,137,085.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.