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Finding the Third Proportional to 11,518,710 and 24,676,840

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Solution

The third proportional to 11,518,710 and 24,676,840 is: 52,865,853.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518,710 : 24,676,840 = 24,676,840 : x
  2. Step 2: Convert to fraction form
    11,518,710/24,676,840 = 24,676,840/x
  3. Step 3: Cross multiply
    11,518,710x = 24,676,840 × 24,676,840
  4. Step 4: Simplify right side
    11,518,710x = 608,946,432,385,600
  5. Step 5: Solve for x
    x = 608,946,432,385,600/11,518,710
  6. Step 6: Final answer
    x = 52,865,853.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.