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Finding the Third Proportional to 426,745,044,790 and 921,505,848,689

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Solution

The third proportional to 426,745,044,790 and 921,505,848,689 is: 1,989,883,748,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,745,044,790 : 921,505,848,689 = 921,505,848,689 : x
  2. Step 2: Convert to fraction form
    426,745,044,790/921,505,848,689 = 921,505,848,689/x
  3. Step 3: Cross multiply
    426,745,044,790x = 921,505,848,689 × 921,505,848,689
  4. Step 4: Simplify right side
    426,745,044,790x = 849,173,029,168,034,124,660,736
  5. Step 5: Solve for x
    x = 849,173,029,168,034,124,660,736/426,745,044,790
  6. Step 6: Final answer
    x = 1,989,883,748,002.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.