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Finding the Third Proportional to 29,677,182 and 64,430,328

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Solution

The third proportional to 29,677,182 and 64,430,328 is: 139,880,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677,182 : 64,430,328 = 64,430,328 : x
  2. Step 2: Convert to fraction form
    29,677,182/64,430,328 = 64,430,328/x
  3. Step 3: Cross multiply
    29,677,182x = 64,430,328 × 64,430,328
  4. Step 4: Simplify right side
    29,677,182x = 4,151,267,166,187,584
  5. Step 5: Solve for x
    x = 4,151,267,166,187,584/29,677,182
  6. Step 6: Final answer
    x = 139,880,773.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.