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Finding the Third Proportional to 61,369,936 and 130,307,864

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Solution

The third proportional to 61,369,936 and 130,307,864 is: 276,684,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,369,936 : 130,307,864 = 130,307,864 : x
  2. Step 2: Convert to fraction form
    61,369,936/130,307,864 = 130,307,864/x
  3. Step 3: Cross multiply
    61,369,936x = 130,307,864 × 130,307,864
  4. Step 4: Simplify right side
    61,369,936x = 16,980,139,420,242,496
  5. Step 5: Solve for x
    x = 16,980,139,420,242,496/61,369,936
  6. Step 6: Final answer
    x = 276,684,978.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.