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Finding the Third Proportional to 2,903,834,664 and 4,463,402,940

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Solution

The third proportional to 2,903,834,664 and 4,463,402,940 is: 6,860,571,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903,834,664 : 4,463,402,940 = 4,463,402,940 : x
  2. Step 2: Convert to fraction form
    2,903,834,664/4,463,402,940 = 4,463,402,940/x
  3. Step 3: Cross multiply
    2,903,834,664x = 4,463,402,940 × 4,463,402,940
  4. Step 4: Simplify right side
    2,903,834,664x = 19,921,965,804,800,643,072
  5. Step 5: Solve for x
    x = 19,921,965,804,800,643,072/2,903,834,664
  6. Step 6: Final answer
    x = 6,860,571,661.25

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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.