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Finding the Third Proportional to 10,045,020 and 21,802,461

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Solution

The third proportional to 10,045,020 and 21,802,461 is: 47,321,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045,020 : 21,802,461 = 21,802,461 : x
  2. Step 2: Convert to fraction form
    10,045,020/21,802,461 = 21,802,461/x
  3. Step 3: Cross multiply
    10,045,020x = 21,802,461 × 21,802,461
  4. Step 4: Simplify right side
    10,045,020x = 475,347,305,656,521
  5. Step 5: Solve for x
    x = 475,347,305,656,521/10,045,020
  6. Step 6: Final answer
    x = 47,321,688.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.