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Finding the Third Proportional to 10,455,598.13 and 22,648,221

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Solution

The third proportional to 10,455,598.13 and 22,648,221 is: 49,059,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455,598.13 : 22,648,221 = 22,648,221 : x
  2. Step 2: Convert to fraction form
    10,455,598.13/22,648,221 = 22,648,221/x
  3. Step 3: Cross multiply
    10,455,598.13x = 22,648,221 × 22,648,221
  4. Step 4: Simplify right side
    10,455,598.13x = 512,941,914,464,841
  5. Step 5: Solve for x
    x = 512,941,914,464,841/10,455,598.13
  6. Step 6: Final answer
    x = 49,059,069.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.