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Finding the Third Proportional to 10,461,216 and 22,573,852

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Solution

The third proportional to 10,461,216 and 22,573,852 is: 48,711,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461,216 : 22,573,852 = 22,573,852 : x
  2. Step 2: Convert to fraction form
    10,461,216/22,573,852 = 22,573,852/x
  3. Step 3: Cross multiply
    10,461,216x = 22,573,852 × 22,573,852
  4. Step 4: Simplify right side
    10,461,216x = 509,578,794,117,904
  5. Step 5: Solve for x
    x = 509,578,794,117,904/10,461,216
  6. Step 6: Final answer
    x = 48,711,239.13

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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.