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Finding the Third Proportional to 5,692,461 and 12,293,826

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Solution

The third proportional to 5,692,461 and 12,293,826 is: 26,550,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,461 : 12,293,826 = 12,293,826 : x
  2. Step 2: Convert to fraction form
    5,692,461/12,293,826 = 12,293,826/x
  3. Step 3: Cross multiply
    5,692,461x = 12,293,826 × 12,293,826
  4. Step 4: Simplify right side
    5,692,461x = 151,138,157,718,276
  5. Step 5: Solve for x
    x = 151,138,157,718,276/5,692,461
  6. Step 6: Final answer
    x = 26,550,582.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.