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Finding the Third Proportional to 255,038,294,646 and 590,429,284,981

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Solution

The third proportional to 255,038,294,646 and 590,429,284,981 is: 1,366,879,985,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,038,294,646 : 590,429,284,981 = 590,429,284,981 : x
  2. Step 2: Convert to fraction form
    255,038,294,646/590,429,284,981 = 590,429,284,981/x
  3. Step 3: Cross multiply
    255,038,294,646x = 590,429,284,981 × 590,429,284,981
  4. Step 4: Simplify right side
    255,038,294,646x = 348,606,740,563,174,935,756,800
  5. Step 5: Solve for x
    x = 348,606,740,563,174,935,756,800/255,038,294,646
  6. Step 6: Final answer
    x = 1,366,879,985,796.06

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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.