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Finding the Third Proportional to 9,974,160 and 21,814,560

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Solution

The third proportional to 9,974,160 and 21,814,560 is: 47,710,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974,160 : 21,814,560 = 21,814,560 : x
  2. Step 2: Convert to fraction form
    9,974,160/21,814,560 = 21,814,560/x
  3. Step 3: Cross multiply
    9,974,160x = 21,814,560 × 21,814,560
  4. Step 4: Simplify right side
    9,974,160x = 475,875,027,993,600
  5. Step 5: Solve for x
    x = 475,875,027,993,600/9,974,160
  6. Step 6: Final answer
    x = 47,710,787.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.