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Finding the Third Proportional to 6,574,471,078 and 14,079,830,444

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Solution

The third proportional to 6,574,471,078 and 14,079,830,444 is: 30,153,243,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574,471,078 : 14,079,830,444 = 14,079,830,444 : x
  2. Step 2: Convert to fraction form
    6,574,471,078/14,079,830,444 = 14,079,830,444/x
  3. Step 3: Cross multiply
    6,574,471,078x = 14,079,830,444 × 14,079,830,444
  4. Step 4: Simplify right side
    6,574,471,078x = 198,241,625,331,789,234,176
  5. Step 5: Solve for x
    x = 198,241,625,331,789,234,176/6,574,471,078
  6. Step 6: Final answer
    x = 30,153,243,200.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.