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Finding the Third Proportional to 10,490,710,817 and 21,402,832,558

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Solution

The third proportional to 10,490,710,817 and 21,402,832,558 is: 43,665,415,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490,710,817 : 21,402,832,558 = 21,402,832,558 : x
  2. Step 2: Convert to fraction form
    10,490,710,817/21,402,832,558 = 21,402,832,558/x
  3. Step 3: Cross multiply
    10,490,710,817x = 21,402,832,558 × 21,402,832,558
  4. Step 4: Simplify right side
    10,490,710,817x = 458,081,241,505,784,791,040
  5. Step 5: Solve for x
    x = 458,081,241,505,784,791,040/10,490,710,817
  6. Step 6: Final answer
    x = 43,665,415,003.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.