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Finding the Third Proportional to 10,021,042 and 21,459,261

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Solution

The third proportional to 10,021,042 and 21,459,261 is: 45,953,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021,042 : 21,459,261 = 21,459,261 : x
  2. Step 2: Convert to fraction form
    10,021,042/21,459,261 = 21,459,261/x
  3. Step 3: Cross multiply
    10,021,042x = 21,459,261 × 21,459,261
  4. Step 4: Simplify right side
    10,021,042x = 460,499,882,666,121
  5. Step 5: Solve for x
    x = 460,499,882,666,121/10,021,042
  6. Step 6: Final answer
    x = 45,953,293.35

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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.