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Finding the Third Proportional to 9,974,873.81 and 21,488,504.63

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Solution

The third proportional to 9,974,873.81 and 21,488,504.63 is: 46,291,896.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974,873.81 : 21,488,504.63 = 21,488,504.63 : x
  2. Step 2: Convert to fraction form
    9,974,873.81/21,488,504.63 = 21,488,504.63/x
  3. Step 3: Cross multiply
    9,974,873.81x = 21,488,504.63 × 21,488,504.63
  4. Step 4: Simplify right side
    9,974,873.81x = 461,755,831,018,646.38
  5. Step 5: Solve for x
    x = 461,755,831,018,646.38/9,974,873.81
  6. Step 6: Final answer
    x = 46,291,896.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.