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Finding the Third Proportional to 1,452,417,953,673 and 3,178,440,866,058

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Solution

The third proportional to 1,452,417,953,673 and 3,178,440,866,058 is: 6,955,633,062,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452,417,953,673 : 3,178,440,866,058 = 3,178,440,866,058 : x
  2. Step 2: Convert to fraction form
    1,452,417,953,673/3,178,440,866,058 = 3,178,440,866,058/x
  3. Step 3: Cross multiply
    1,452,417,953,673x = 3,178,440,866,058 × 3,178,440,866,058
  4. Step 4: Simplify right side
    1,452,417,953,673x = 10,102,486,339,027,528,719,532,032
  5. Step 5: Solve for x
    x = 10,102,486,339,027,528,719,532,032/1,452,417,953,673
  6. Step 6: Final answer
    x = 6,955,633,062,424.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.