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Finding the Third Proportional to 12,839,842,905 and 26,040,712,971

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Solution

The third proportional to 12,839,842,905 and 26,040,712,971 is: 52,813,631,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839,842,905 : 26,040,712,971 = 26,040,712,971 : x
  2. Step 2: Convert to fraction form
    12,839,842,905/26,040,712,971 = 26,040,712,971/x
  3. Step 3: Cross multiply
    12,839,842,905x = 26,040,712,971 × 26,040,712,971
  4. Step 4: Simplify right side
    12,839,842,905x = 678,118,732,038,007,685,120
  5. Step 5: Solve for x
    x = 678,118,732,038,007,685,120/12,839,842,905
  6. Step 6: Final answer
    x = 52,813,631,526.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.