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Finding the Third Proportional to 10,180,440 and 21,818,178

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Solution

The third proportional to 10,180,440 and 21,818,178 is: 46,759,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180,440 : 21,818,178 = 21,818,178 : x
  2. Step 2: Convert to fraction form
    10,180,440/21,818,178 = 21,818,178/x
  3. Step 3: Cross multiply
    10,180,440x = 21,818,178 × 21,818,178
  4. Step 4: Simplify right side
    10,180,440x = 476,032,891,239,684
  5. Step 5: Solve for x
    x = 476,032,891,239,684/10,180,440
  6. Step 6: Final answer
    x = 46,759,559.63

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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.