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Finding the Third Proportional to 272,877,776 and 419,856,024

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Solution

The third proportional to 272,877,776 and 419,856,024 is: 646,000,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,877,776 : 419,856,024 = 419,856,024 : x
  2. Step 2: Convert to fraction form
    272,877,776/419,856,024 = 419,856,024/x
  3. Step 3: Cross multiply
    272,877,776x = 419,856,024 × 419,856,024
  4. Step 4: Simplify right side
    272,877,776x = 176,279,080,889,088,576
  5. Step 5: Solve for x
    x = 176,279,080,889,088,576/272,877,776
  6. Step 6: Final answer
    x = 646,000,137.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.