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Finding the Third Proportional to 1,577,121,102 and 3,365,331,707

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Solution

The third proportional to 1,577,121,102 and 3,365,331,707 is: 7,181,095,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,121,102 : 3,365,331,707 = 3,365,331,707 : x
  2. Step 2: Convert to fraction form
    1,577,121,102/3,365,331,707 = 3,365,331,707/x
  3. Step 3: Cross multiply
    1,577,121,102x = 3,365,331,707 × 3,365,331,707
  4. Step 4: Simplify right side
    1,577,121,102x = 11,325,457,498,139,533,312
  5. Step 5: Solve for x
    x = 11,325,457,498,139,533,312/1,577,121,102
  6. Step 6: Final answer
    x = 7,181,095,658.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.