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Finding the Third Proportional to 29,190,048,120 and 63,730,643,859

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Solution

The third proportional to 29,190,048,120 and 63,730,643,859 is: 139,143,140,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,190,048,120 : 63,730,643,859 = 63,730,643,859 : x
  2. Step 2: Convert to fraction form
    29,190,048,120/63,730,643,859 = 63,730,643,859/x
  3. Step 3: Cross multiply
    29,190,048,120x = 63,730,643,859 × 63,730,643,859
  4. Step 4: Simplify right side
    29,190,048,120x = 4,061,594,966,682,694,582,272
  5. Step 5: Solve for x
    x = 4,061,594,966,682,694,582,272/29,190,048,120
  6. Step 6: Final answer
    x = 139,143,140,497.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.