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Finding the Third Proportional to 71,527,646 and 154,488,640

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Solution

The third proportional to 71,527,646 and 154,488,640 is: 333,671,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,527,646 : 154,488,640 = 154,488,640 : x
  2. Step 2: Convert to fraction form
    71,527,646/154,488,640 = 154,488,640/x
  3. Step 3: Cross multiply
    71,527,646x = 154,488,640 × 154,488,640
  4. Step 4: Simplify right side
    71,527,646x = 23,866,739,889,049,600
  5. Step 5: Solve for x
    x = 23,866,739,889,049,600/71,527,646
  6. Step 6: Final answer
    x = 333,671,541.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.