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Finding the Third Proportional to 2,880,272,880 and 6,283,879,464

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Solution

The third proportional to 2,880,272,880 and 6,283,879,464 is: 13,709,513,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880,272,880 : 6,283,879,464 = 6,283,879,464 : x
  2. Step 2: Convert to fraction form
    2,880,272,880/6,283,879,464 = 6,283,879,464/x
  3. Step 3: Cross multiply
    2,880,272,880x = 6,283,879,464 × 6,283,879,464
  4. Step 4: Simplify right side
    2,880,272,880x = 39,487,141,118,080,925,696
  5. Step 5: Solve for x
    x = 39,487,141,118,080,925,696/2,880,272,880
  6. Step 6: Final answer
    x = 13,709,513,911.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.