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Finding the Third Proportional to 14,956,000,908 and 32,299,965,016

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Solution

The third proportional to 14,956,000,908 and 32,299,965,016 is: 69,757,132,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,956,000,908 : 32,299,965,016 = 32,299,965,016 : x
  2. Step 2: Convert to fraction form
    14,956,000,908/32,299,965,016 = 32,299,965,016/x
  3. Step 3: Cross multiply
    14,956,000,908x = 32,299,965,016 × 32,299,965,016
  4. Step 4: Simplify right side
    14,956,000,908x = 1,043,287,740,034,823,880,704
  5. Step 5: Solve for x
    x = 1,043,287,740,034,823,880,704/14,956,000,908
  6. Step 6: Final answer
    x = 69,757,132,702.28

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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.