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Finding the Third Proportional to 132,562,725 and 288,071,532

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Solution

The third proportional to 132,562,725 and 288,071,532 is: 626,007,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,562,725 : 288,071,532 = 288,071,532 : x
  2. Step 2: Convert to fraction form
    132,562,725/288,071,532 = 288,071,532/x
  3. Step 3: Cross multiply
    132,562,725x = 288,071,532 × 288,071,532
  4. Step 4: Simplify right side
    132,562,725x = 82,985,207,548,827,024
  5. Step 5: Solve for x
    x = 82,985,207,548,827,024/132,562,725
  6. Step 6: Final answer
    x = 626,007,103.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.