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Finding the Third Proportional to 34,076,497.50 and 52,864,898.06

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Solution

The third proportional to 34,076,497.50 and 52,864,898.06 is: 82,012,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,076,497.50 : 52,864,898.06 = 52,864,898.06 : x
  2. Step 2: Convert to fraction form
    34,076,497.50/52,864,898.06 = 52,864,898.06/x
  3. Step 3: Cross multiply
    34,076,497.50x = 52,864,898.06 × 52,864,898.06
  4. Step 4: Simplify right side
    34,076,497.50x = 2,794,697,447,158,516.50
  5. Step 5: Solve for x
    x = 2,794,697,447,158,516.50/34,076,497.50
  6. Step 6: Final answer
    x = 82,012,461.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.