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Finding the Third Proportional to 10,395,971,296 and 22,696,980,896

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Solution

The third proportional to 10,395,971,296 and 22,696,980,896 is: 49,553,132,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395,971,296 : 22,696,980,896 = 22,696,980,896 : x
  2. Step 2: Convert to fraction form
    10,395,971,296/22,696,980,896 = 22,696,980,896/x
  3. Step 3: Cross multiply
    10,395,971,296x = 22,696,980,896 × 22,696,980,896
  4. Step 4: Simplify right side
    10,395,971,296x = 515,152,941,793,388,986,368
  5. Step 5: Solve for x
    x = 515,152,941,793,388,986,368/10,395,971,296
  6. Step 6: Final answer
    x = 49,553,132,374.62

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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.