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Finding the Third Proportional to 124,720,095,022 and 256,051,965,617

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Solution

The third proportional to 124,720,095,022 and 256,051,965,617 is: 525,677,991,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,720,095,022 : 256,051,965,617 = 256,051,965,617 : x
  2. Step 2: Convert to fraction form
    124,720,095,022/256,051,965,617 = 256,051,965,617/x
  3. Step 3: Cross multiply
    124,720,095,022x = 256,051,965,617 × 256,051,965,617
  4. Step 4: Simplify right side
    124,720,095,022x = 65,562,609,096,329,349,038,080
  5. Step 5: Solve for x
    x = 65,562,609,096,329,349,038,080/124,720,095,022
  6. Step 6: Final answer
    x = 525,677,991,864.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.