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Finding the Third Proportional to 255,038,294,637 and 590,429,284,960.50

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Solution

The third proportional to 255,038,294,637 and 590,429,284,960.50 is: 1,366,879,985,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,038,294,637 : 590,429,284,960.50 = 590,429,284,960.50 : x
  2. Step 2: Convert to fraction form
    255,038,294,637/590,429,284,960.50 = 590,429,284,960.50/x
  3. Step 3: Cross multiply
    255,038,294,637x = 590,429,284,960.50 × 590,429,284,960.50
  4. Step 4: Simplify right side
    255,038,294,637x = 348,606,740,538,967,292,116,992
  5. Step 5: Solve for x
    x = 348,606,740,538,967,292,116,992/255,038,294,637
  6. Step 6: Final answer
    x = 1,366,879,985,749.37

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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.