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Finding the Third Proportional to 272,800,545 and 584,415,810

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Solution

The third proportional to 272,800,545 and 584,415,810 is: 1,251,983,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,800,545 : 584,415,810 = 584,415,810 : x
  2. Step 2: Convert to fraction form
    272,800,545/584,415,810 = 584,415,810/x
  3. Step 3: Cross multiply
    272,800,545x = 584,415,810 × 584,415,810
  4. Step 4: Simplify right side
    272,800,545x = 341,541,838,977,956,096
  5. Step 5: Solve for x
    x = 341,541,838,977,956,096/272,800,545
  6. Step 6: Final answer
    x = 1,251,983,712.05

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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.