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Finding the Third Proportional to 14,038,341,329,009 and 30,568,902,449,026

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Solution

The third proportional to 14,038,341,329,009 and 30,568,902,449,026 is: 66,564,687,026,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038,341,329,009 : 30,568,902,449,026 = 30,568,902,449,026 : x
  2. Step 2: Convert to fraction form
    14,038,341,329,009/30,568,902,449,026 = 30,568,902,449,026/x
  3. Step 3: Cross multiply
    14,038,341,329,009x = 30,568,902,449,026 × 30,568,902,449,026
  4. Step 4: Simplify right side
    14,038,341,329,009x = 934,457,796,938,067,791,564,505,088
  5. Step 5: Solve for x
    x = 934,457,796,938,067,791,564,505,088/14,038,341,329,009
  6. Step 6: Final answer
    x = 66,564,687,026,599.98

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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.