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Finding the Third Proportional to 196,260,616,356 and 426,908,123,580

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Solution

The third proportional to 196,260,616,356 and 426,908,123,580 is: 928,614,968,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,260,616,356 : 426,908,123,580 = 426,908,123,580 : x
  2. Step 2: Convert to fraction form
    196,260,616,356/426,908,123,580 = 426,908,123,580/x
  3. Step 3: Cross multiply
    196,260,616,356x = 426,908,123,580 × 426,908,123,580
  4. Step 4: Simplify right side
    196,260,616,356x = 182,250,545,978,596,554,440,704
  5. Step 5: Solve for x
    x = 182,250,545,978,596,554,440,704/196,260,616,356
  6. Step 6: Final answer
    x = 928,614,968,007.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.