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Finding the Third Proportional to 272,077,765 and 555,575,498

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Solution

The third proportional to 272,077,765 and 555,575,498 is: 1,134,470,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,077,765 : 555,575,498 = 555,575,498 : x
  2. Step 2: Convert to fraction form
    272,077,765/555,575,498 = 555,575,498/x
  3. Step 3: Cross multiply
    272,077,765x = 555,575,498 × 555,575,498
  4. Step 4: Simplify right side
    272,077,765x = 308,664,133,977,948,032
  5. Step 5: Solve for x
    x = 308,664,133,977,948,032/272,077,765
  6. Step 6: Final answer
    x = 1,134,470,264.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.