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Finding the Third Proportional to 6,977,077,052 and 10,724,267,659

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Solution

The third proportional to 6,977,077,052 and 10,724,267,659 is: 16,483,968,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,077,052 : 10,724,267,659 = 10,724,267,659 : x
  2. Step 2: Convert to fraction form
    6,977,077,052/10,724,267,659 = 10,724,267,659/x
  3. Step 3: Cross multiply
    6,977,077,052x = 10,724,267,659 × 10,724,267,659
  4. Step 4: Simplify right side
    6,977,077,052x = 115,009,916,821,873,344,512
  5. Step 5: Solve for x
    x = 115,009,916,821,873,344,512/6,977,077,052
  6. Step 6: Final answer
    x = 16,483,968,281.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.