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Finding the Third Proportional to 4,733,232 and 10,367,423

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Solution

The third proportional to 4,733,232 and 10,367,423 is: 22,708,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733,232 : 10,367,423 = 10,367,423 : x
  2. Step 2: Convert to fraction form
    4,733,232/10,367,423 = 10,367,423/x
  3. Step 3: Cross multiply
    4,733,232x = 10,367,423 × 10,367,423
  4. Step 4: Simplify right side
    4,733,232x = 107,483,459,660,929
  5. Step 5: Solve for x
    x = 107,483,459,660,929/4,733,232
  6. Step 6: Final answer
    x = 22,708,259.32

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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.