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Finding the Third Proportional to 286,357,692,960 and 430,732,082,592

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Solution

The third proportional to 286,357,692,960 and 430,732,082,592 is: 647,896,430,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,357,692,960 : 430,732,082,592 = 430,732,082,592 : x
  2. Step 2: Convert to fraction form
    286,357,692,960/430,732,082,592 = 430,732,082,592/x
  3. Step 3: Cross multiply
    286,357,692,960x = 430,732,082,592 × 430,732,082,592
  4. Step 4: Simplify right side
    286,357,692,960x = 185,530,126,974,041,500,680,192
  5. Step 5: Solve for x
    x = 185,530,126,974,041,500,680,192/286,357,692,960
  6. Step 6: Final answer
    x = 647,896,430,007.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.