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Finding the Third Proportional to 2,414,889,988,378 and 5,169,014,633,012

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Solution

The third proportional to 2,414,889,988,378 and 5,169,014,633,012 is: 11,064,152,986,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,889,988,378 : 5,169,014,633,012 = 5,169,014,633,012 : x
  2. Step 2: Convert to fraction form
    2,414,889,988,378/5,169,014,633,012 = 5,169,014,633,012/x
  3. Step 3: Cross multiply
    2,414,889,988,378x = 5,169,014,633,012 × 5,169,014,633,012
  4. Step 4: Simplify right side
    2,414,889,988,378x = 26,718,712,276,292,182,550,249,472
  5. Step 5: Solve for x
    x = 26,718,712,276,292,182,550,249,472/2,414,889,988,378
  6. Step 6: Final answer
    x = 11,064,152,986,214.60

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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.