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Finding the Third Proportional to 10,427,470 and 21,808,320

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Solution

The third proportional to 10,427,470 and 21,808,320 is: 45,610,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427,470 : 21,808,320 = 21,808,320 : x
  2. Step 2: Convert to fraction form
    10,427,470/21,808,320 = 21,808,320/x
  3. Step 3: Cross multiply
    10,427,470x = 21,808,320 × 21,808,320
  4. Step 4: Simplify right side
    10,427,470x = 475,602,821,222,400
  5. Step 5: Solve for x
    x = 475,602,821,222,400/10,427,470
  6. Step 6: Final answer
    x = 45,610,567.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.