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Finding the Third Proportional to 15,277,712 and 32,128,288

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Solution

The third proportional to 15,277,712 and 32,128,288 is: 67,564,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,277,712 : 32,128,288 = 32,128,288 : x
  2. Step 2: Convert to fraction form
    15,277,712/32,128,288 = 32,128,288/x
  3. Step 3: Cross multiply
    15,277,712x = 32,128,288 × 32,128,288
  4. Step 4: Simplify right side
    15,277,712x = 1,032,226,889,810,944
  5. Step 5: Solve for x
    x = 1,032,226,889,810,944/15,277,712
  6. Step 6: Final answer
    x = 67,564,232.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.