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Finding the Third Proportional to 2,857,829,257.50 and 6,153,552,777

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Solution

The third proportional to 2,857,829,257.50 and 6,153,552,777 is: 13,249,990,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,829,257.50 : 6,153,552,777 = 6,153,552,777 : x
  2. Step 2: Convert to fraction form
    2,857,829,257.50/6,153,552,777 = 6,153,552,777/x
  3. Step 3: Cross multiply
    2,857,829,257.50x = 6,153,552,777 × 6,153,552,777
  4. Step 4: Simplify right side
    2,857,829,257.50x = 37,866,211,779,324,411,904
  5. Step 5: Solve for x
    x = 37,866,211,779,324,411,904/2,857,829,257.50
  6. Step 6: Final answer
    x = 13,249,990,943.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.