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Finding the Third Proportional to 9,854,684 and 21,071,276

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Solution

The third proportional to 9,854,684 and 21,071,276 is: 45,054,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854,684 : 21,071,276 = 21,071,276 : x
  2. Step 2: Convert to fraction form
    9,854,684/21,071,276 = 21,071,276/x
  3. Step 3: Cross multiply
    9,854,684x = 21,071,276 × 21,071,276
  4. Step 4: Simplify right side
    9,854,684x = 443,998,672,268,176
  5. Step 5: Solve for x
    x = 443,998,672,268,176/9,854,684
  6. Step 6: Final answer
    x = 45,054,582.40

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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.