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Finding the Third Proportional to 12,877,077 and 27,289,428

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Solution

The third proportional to 12,877,077 and 27,289,428 is: 57,832,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877,077 : 27,289,428 = 27,289,428 : x
  2. Step 2: Convert to fraction form
    12,877,077/27,289,428 = 27,289,428/x
  3. Step 3: Cross multiply
    12,877,077x = 27,289,428 × 27,289,428
  4. Step 4: Simplify right side
    12,877,077x = 744,712,880,567,184
  5. Step 5: Solve for x
    x = 744,712,880,567,184/12,877,077
  6. Step 6: Final answer
    x = 57,832,447.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.