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Finding the Third Proportional to 4,616,845,377.75 and 9,362,159,897.63

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Solution

The third proportional to 4,616,845,377.75 and 9,362,159,897.63 is: 18,984,832,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616,845,377.75 : 9,362,159,897.63 = 9,362,159,897.63 : x
  2. Step 2: Convert to fraction form
    4,616,845,377.75/9,362,159,897.63 = 9,362,159,897.63/x
  3. Step 3: Cross multiply
    4,616,845,377.75x = 9,362,159,897.63 × 9,362,159,897.63
  4. Step 4: Simplify right side
    4,616,845,377.75x = 87,650,037,948,697,755,648
  5. Step 5: Solve for x
    x = 87,650,037,948,697,755,648/4,616,845,377.75
  6. Step 6: Final answer
    x = 18,984,832,884.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.