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Finding the Third Proportional to 12,602,714 and 27,645,146

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Solution

The third proportional to 12,602,714 and 27,645,146 is: 60,642,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602,714 : 27,645,146 = 27,645,146 : x
  2. Step 2: Convert to fraction form
    12,602,714/27,645,146 = 27,645,146/x
  3. Step 3: Cross multiply
    12,602,714x = 27,645,146 × 27,645,146
  4. Step 4: Simplify right side
    12,602,714x = 764,254,097,361,316
  5. Step 5: Solve for x
    x = 764,254,097,361,316/12,602,714
  6. Step 6: Final answer
    x = 60,642,024.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.