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Finding the Third Proportional to 10,461,210 and 22,573,844

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Solution

The third proportional to 10,461,210 and 22,573,844 is: 48,711,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461,210 : 22,573,844 = 22,573,844 : x
  2. Step 2: Convert to fraction form
    10,461,210/22,573,844 = 22,573,844/x
  3. Step 3: Cross multiply
    10,461,210x = 22,573,844 × 22,573,844
  4. Step 4: Simplify right side
    10,461,210x = 509,578,432,936,336
  5. Step 5: Solve for x
    x = 509,578,432,936,336/10,461,210
  6. Step 6: Final answer
    x = 48,711,232.54

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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.