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Finding the Third Proportional to 4,137,683,751 and 6,200,457,786

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Solution

The third proportional to 4,137,683,751 and 6,200,457,786 is: 9,291,593,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137,683,751 : 6,200,457,786 = 6,200,457,786 : x
  2. Step 2: Convert to fraction form
    4,137,683,751/6,200,457,786 = 6,200,457,786/x
  3. Step 3: Cross multiply
    4,137,683,751x = 6,200,457,786 × 6,200,457,786
  4. Step 4: Simplify right side
    4,137,683,751x = 38,445,676,755,968,024,576
  5. Step 5: Solve for x
    x = 38,445,676,755,968,024,576/4,137,683,751
  6. Step 6: Final answer
    x = 9,291,593,816.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.