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Finding the Third Proportional to 286,357,693,006 and 430,732,082,742

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Solution

The third proportional to 286,357,693,006 and 430,732,082,742 is: 647,896,430,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,357,693,006 : 430,732,082,742 = 430,732,082,742 : x
  2. Step 2: Convert to fraction form
    286,357,693,006/430,732,082,742 = 430,732,082,742/x
  3. Step 3: Cross multiply
    286,357,693,006x = 430,732,082,742 × 430,732,082,742
  4. Step 4: Simplify right side
    286,357,693,006x = 185,530,127,103,261,128,261,632
  5. Step 5: Solve for x
    x = 185,530,127,103,261,128,261,632/286,357,693,006
  6. Step 6: Final answer
    x = 647,896,430,354.93

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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.