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Finding the Third Proportional to 254,674,282 and 545,657,084

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Solution

The third proportional to 254,674,282 and 545,657,084 is: 1,169,107,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,674,282 : 545,657,084 = 545,657,084 : x
  2. Step 2: Convert to fraction form
    254,674,282/545,657,084 = 545,657,084/x
  3. Step 3: Cross multiply
    254,674,282x = 545,657,084 × 545,657,084
  4. Step 4: Simplify right side
    254,674,282x = 297,741,653,319,383,040
  5. Step 5: Solve for x
    x = 297,741,653,319,383,040/254,674,282
  6. Step 6: Final answer
    x = 1,169,107,657.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.