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Finding the Third Proportional to 1,862,525,461.50 and 4,055,725,323

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Solution

The third proportional to 1,862,525,461.50 and 4,055,725,323 is: 8,831,507,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862,525,461.50 : 4,055,725,323 = 4,055,725,323 : x
  2. Step 2: Convert to fraction form
    1,862,525,461.50/4,055,725,323 = 4,055,725,323/x
  3. Step 3: Cross multiply
    1,862,525,461.50x = 4,055,725,323 × 4,055,725,323
  4. Step 4: Simplify right side
    1,862,525,461.50x = 16,448,907,895,623,454,720
  5. Step 5: Solve for x
    x = 16,448,907,895,623,454,720/1,862,525,461.50
  6. Step 6: Final answer
    x = 8,831,507,668.29

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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.