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Finding the Third Proportional to 268,108,848 and 578,541,932

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Solution

The third proportional to 268,108,848 and 578,541,932 is: 1,248,413,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,108,848 : 578,541,932 = 578,541,932 : x
  2. Step 2: Convert to fraction form
    268,108,848/578,541,932 = 578,541,932/x
  3. Step 3: Cross multiply
    268,108,848x = 578,541,932 × 578,541,932
  4. Step 4: Simplify right side
    268,108,848x = 334,710,767,082,292,608
  5. Step 5: Solve for x
    x = 334,710,767,082,292,608/268,108,848
  6. Step 6: Final answer
    x = 1,248,413,730.39

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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.