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Finding the Third Proportional to 1,473,402,102,729 and 3,206,252,062,752

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Solution

The third proportional to 1,473,402,102,729 and 3,206,252,062,752 is: 6,977,085,393,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,402,102,729 : 3,206,252,062,752 = 3,206,252,062,752 : x
  2. Step 2: Convert to fraction form
    1,473,402,102,729/3,206,252,062,752 = 3,206,252,062,752/x
  3. Step 3: Cross multiply
    1,473,402,102,729x = 3,206,252,062,752 × 3,206,252,062,752
  4. Step 4: Simplify right side
    1,473,402,102,729x = 10,280,052,289,901,454,354,808,832
  5. Step 5: Solve for x
    x = 10,280,052,289,901,454,354,808,832/1,473,402,102,729
  6. Step 6: Final answer
    x = 6,977,085,393,634.90

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