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Finding the Third Proportional to 255,038,294,648 and 590,429,284,986

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Solution

The third proportional to 255,038,294,648 and 590,429,284,986 is: 1,366,879,985,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,038,294,648 : 590,429,284,986 = 590,429,284,986 : x
  2. Step 2: Convert to fraction form
    255,038,294,648/590,429,284,986 = 590,429,284,986/x
  3. Step 3: Cross multiply
    255,038,294,648x = 590,429,284,986 × 590,429,284,986
  4. Step 4: Simplify right side
    255,038,294,648x = 348,606,740,569,079,173,611,520
  5. Step 5: Solve for x
    x = 348,606,740,569,079,173,611,520/255,038,294,648
  6. Step 6: Final answer
    x = 1,366,879,985,808.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.