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Finding the Third Proportional to 424,370,792,418.75 and 925,548,232,080.40

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Solution

The third proportional to 424,370,792,418.75 and 925,548,232,080.40 is: 2,018,610,953,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,370,792,418.75 : 925,548,232,080.40 = 925,548,232,080.40 : x
  2. Step 2: Convert to fraction form
    424,370,792,418.75/925,548,232,080.40 = 925,548,232,080.40/x
  3. Step 3: Cross multiply
    424,370,792,418.75x = 925,548,232,080.40 × 925,548,232,080.40
  4. Step 4: Simplify right side
    424,370,792,418.75x = 856,639,529,907,154,004,738,048
  5. Step 5: Solve for x
    x = 856,639,529,907,154,004,738,048/424,370,792,418.75
  6. Step 6: Final answer
    x = 2,018,610,953,465.10

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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.