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Finding the Third Proportional to 10,916,344,735 and 16,768,841,007

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Solution

The third proportional to 10,916,344,735 and 16,768,841,007 is: 25,758,991,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916,344,735 : 16,768,841,007 = 16,768,841,007 : x
  2. Step 2: Convert to fraction form
    10,916,344,735/16,768,841,007 = 16,768,841,007/x
  3. Step 3: Cross multiply
    10,916,344,735x = 16,768,841,007 × 16,768,841,007
  4. Step 4: Simplify right side
    10,916,344,735x = 281,194,028,718,044,774,400
  5. Step 5: Solve for x
    x = 281,194,028,718,044,774,400/10,916,344,735
  6. Step 6: Final answer
    x = 25,758,991,268.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.