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Finding the Third Proportional to 10,045,026 and 21,802,473

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Solution

The third proportional to 10,045,026 and 21,802,473 is: 47,321,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045,026 : 21,802,473 = 21,802,473 : x
  2. Step 2: Convert to fraction form
    10,045,026/21,802,473 = 21,802,473/x
  3. Step 3: Cross multiply
    10,045,026x = 21,802,473 × 21,802,473
  4. Step 4: Simplify right side
    10,045,026x = 475,347,828,915,729
  5. Step 5: Solve for x
    x = 475,347,828,915,729/10,045,026
  6. Step 6: Final answer
    x = 47,321,712.15

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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.