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Finding the Third Proportional to 9,712,193.63 and 21,450,232.69

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Solution

The third proportional to 9,712,193.63 and 21,450,232.69 is: 47,374,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712,193.63 : 21,450,232.69 = 21,450,232.69 : x
  2. Step 2: Convert to fraction form
    9,712,193.63/21,450,232.69 = 21,450,232.69/x
  3. Step 3: Cross multiply
    9,712,193.63x = 21,450,232.69 × 21,450,232.69
  4. Step 4: Simplify right side
    9,712,193.63x = 460,112,482,347,893.50
  5. Step 5: Solve for x
    x = 460,112,482,347,893.50/9,712,193.63
  6. Step 6: Final answer
    x = 47,374,722.96

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.