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Finding the Third Proportional to 9,977,341.75 and 21,446,132.88

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Solution

The third proportional to 9,977,341.75 and 21,446,132.88 is: 46,098,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977,341.75 : 21,446,132.88 = 21,446,132.88 : x
  2. Step 2: Convert to fraction form
    9,977,341.75/21,446,132.88 = 21,446,132.88/x
  3. Step 3: Cross multiply
    9,977,341.75x = 21,446,132.88 × 21,446,132.88
  4. Step 4: Simplify right side
    9,977,341.75x = 459,936,615,292,155.75
  5. Step 5: Solve for x
    x = 459,936,615,292,155.75/9,977,341.75
  6. Step 6: Final answer
    x = 46,098,111.78

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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.