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Finding the Third Proportional to 316,987,097.63 and 690,248,803.50

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Solution

The third proportional to 316,987,097.63 and 690,248,803.50 is: 1,503,037,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,987,097.63 : 690,248,803.50 = 690,248,803.50 : x
  2. Step 2: Convert to fraction form
    316,987,097.63/690,248,803.50 = 690,248,803.50/x
  3. Step 3: Cross multiply
    316,987,097.63x = 690,248,803.50 × 690,248,803.50
  4. Step 4: Simplify right side
    316,987,097.63x = 476,443,410,733,181,632
  5. Step 5: Solve for x
    x = 476,443,410,733,181,632/316,987,097.63
  6. Step 6: Final answer
    x = 1,503,037,234.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.