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Finding the Third Proportional to 4,730,420 and 10,376,455

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Solution

The third proportional to 4,730,420 and 10,376,455 is: 22,761,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730,420 : 10,376,455 = 10,376,455 : x
  2. Step 2: Convert to fraction form
    4,730,420/10,376,455 = 10,376,455/x
  3. Step 3: Cross multiply
    4,730,420x = 10,376,455 × 10,376,455
  4. Step 4: Simplify right side
    4,730,420x = 107,670,818,367,025
  5. Step 5: Solve for x
    x = 107,670,818,367,025/4,730,420
  6. Step 6: Final answer
    x = 22,761,365.45

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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.