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Finding the Third Proportional to 6,574,471,082 and 14,079,830,452

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Solution

The third proportional to 6,574,471,082 and 14,079,830,452 is: 30,153,243,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574,471,082 : 14,079,830,452 = 14,079,830,452 : x
  2. Step 2: Convert to fraction form
    6,574,471,082/14,079,830,452 = 14,079,830,452/x
  3. Step 3: Cross multiply
    6,574,471,082x = 14,079,830,452 × 14,079,830,452
  4. Step 4: Simplify right side
    6,574,471,082x = 198,241,625,557,066,514,432
  5. Step 5: Solve for x
    x = 198,241,625,557,066,514,432/6,574,471,082
  6. Step 6: Final answer
    x = 30,153,243,216.75

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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.