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Finding the Third Proportional to 5,829,273 and 8,151,566.63

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Solution

The third proportional to 5,829,273 and 8,151,566.63 is: 11,399,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829,273 : 8,151,566.63 = 8,151,566.63 : x
  2. Step 2: Convert to fraction form
    5,829,273/8,151,566.63 = 8,151,566.63/x
  3. Step 3: Cross multiply
    5,829,273x = 8,151,566.63 × 8,151,566.63
  4. Step 4: Simplify right side
    5,829,273x = 66,448,038,441,813.89
  5. Step 5: Solve for x
    x = 66,448,038,441,813.89/5,829,273
  6. Step 6: Final answer
    x = 11,399,026.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.