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Finding the Third Proportional to 6,369,862,982 and 9,554,795,470

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Solution

The third proportional to 6,369,862,982 and 9,554,795,470 is: 14,332,194,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369,862,982 : 9,554,795,470 = 9,554,795,470 : x
  2. Step 2: Convert to fraction form
    6,369,862,982/9,554,795,470 = 9,554,795,470/x
  3. Step 3: Cross multiply
    6,369,862,982x = 9,554,795,470 × 9,554,795,470
  4. Step 4: Simplify right side
    6,369,862,982x = 91,294,116,473,532,514,304
  5. Step 5: Solve for x
    x = 91,294,116,473,532,514,304/6,369,862,982
  6. Step 6: Final answer
    x = 14,332,194,700.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.