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Finding the Third Proportional to 2,424,643,200 and 5,237,280,720

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Solution

The third proportional to 2,424,643,200 and 5,237,280,720 is: 11,312,637,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424,643,200 : 5,237,280,720 = 5,237,280,720 : x
  2. Step 2: Convert to fraction form
    2,424,643,200/5,237,280,720 = 5,237,280,720/x
  3. Step 3: Cross multiply
    2,424,643,200x = 5,237,280,720 × 5,237,280,720
  4. Step 4: Simplify right side
    2,424,643,200x = 27,429,109,340,083,720,192
  5. Step 5: Solve for x
    x = 27,429,109,340,083,720,192/2,424,643,200
  6. Step 6: Final answer
    x = 11,312,637,397.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.