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Finding the Third Proportional to 9,243,830.25 and 14,425,349.06

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Solution

The third proportional to 9,243,830.25 and 14,425,349.06 is: 22,511,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243,830.25 : 14,425,349.06 = 14,425,349.06 : x
  2. Step 2: Convert to fraction form
    9,243,830.25/14,425,349.06 = 14,425,349.06/x
  3. Step 3: Cross multiply
    9,243,830.25x = 14,425,349.06 × 14,425,349.06
  4. Step 4: Simplify right side
    9,243,830.25x = 208,090,695,574,969.62
  5. Step 5: Solve for x
    x = 208,090,695,574,969.62/9,243,830.25
  6. Step 6: Final answer
    x = 22,511,306.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.