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Finding the Third Proportional to 9,212,644.13 and 14,450,675.63

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Solution

The third proportional to 9,212,644.13 and 14,450,675.63 is: 22,666,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212,644.13 : 14,450,675.63 = 14,450,675.63 : x
  2. Step 2: Convert to fraction form
    9,212,644.13/14,450,675.63 = 14,450,675.63/x
  3. Step 3: Cross multiply
    9,212,644.13x = 14,450,675.63 × 14,450,675.63
  4. Step 4: Simplify right side
    9,212,644.13x = 208,822,026,018,969.12
  5. Step 5: Solve for x
    x = 208,822,026,018,969.12/9,212,644.13
  6. Step 6: Final answer
    x = 22,666,893.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.