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Finding the Third Proportional to 10,223,775 and 21,884,004

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Solution

The third proportional to 10,223,775 and 21,884,004 is: 46,842,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223,775 : 21,884,004 = 21,884,004 : x
  2. Step 2: Convert to fraction form
    10,223,775/21,884,004 = 21,884,004/x
  3. Step 3: Cross multiply
    10,223,775x = 21,884,004 × 21,884,004
  4. Step 4: Simplify right side
    10,223,775x = 478,909,631,072,016
  5. Step 5: Solve for x
    x = 478,909,631,072,016/10,223,775
  6. Step 6: Final answer
    x = 46,842,739.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.