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Finding the Third Proportional to 561,002,349,816 and 1,201,440,263,688

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Solution

The third proportional to 561,002,349,816 and 1,201,440,263,688 is: 2,572,999,395,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,002,349,816 : 1,201,440,263,688 = 1,201,440,263,688 : x
  2. Step 2: Convert to fraction form
    561,002,349,816/1,201,440,263,688 = 1,201,440,263,688/x
  3. Step 3: Cross multiply
    561,002,349,816x = 1,201,440,263,688 × 1,201,440,263,688
  4. Step 4: Simplify right side
    561,002,349,816x = 1,443,458,707,210,691,080,617,984
  5. Step 5: Solve for x
    x = 1,443,458,707,210,691,080,617,984/561,002,349,816
  6. Step 6: Final answer
    x = 2,572,999,395,963.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.