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Finding the Third Proportional to 11,505,872,812,332 and 25,037,242,734,084

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Solution

The third proportional to 11,505,872,812,332 and 25,037,242,734,084 is: 54,482,048,771,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505,872,812,332 : 25,037,242,734,084 = 25,037,242,734,084 : x
  2. Step 2: Convert to fraction form
    11,505,872,812,332/25,037,242,734,084 = 25,037,242,734,084/x
  3. Step 3: Cross multiply
    11,505,872,812,332x = 25,037,242,734,084 × 25,037,242,734,084
  4. Step 4: Simplify right side
    11,505,872,812,332x = 626,863,523,725,442,086,103,678,976
  5. Step 5: Solve for x
    x = 626,863,523,725,442,086,103,678,976/11,505,872,812,332
  6. Step 6: Final answer
    x = 54,482,048,771,960.13

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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.