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Finding the Third Proportional to 2,824,979,336 and 4,651,623,948

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Solution

The third proportional to 2,824,979,336 and 4,651,623,948 is: 7,659,385,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824,979,336 : 4,651,623,948 = 4,651,623,948 : x
  2. Step 2: Convert to fraction form
    2,824,979,336/4,651,623,948 = 4,651,623,948/x
  3. Step 3: Cross multiply
    2,824,979,336x = 4,651,623,948 × 4,651,623,948
  4. Step 4: Simplify right side
    2,824,979,336x = 21,637,605,353,607,106,560
  5. Step 5: Solve for x
    x = 21,637,605,353,607,106,560/2,824,979,336
  6. Step 6: Final answer
    x = 7,659,385,354.74

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.