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Finding the Third Proportional to 1,453,473,294 and 3,188,342,154

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Solution

The third proportional to 1,453,473,294 and 3,188,342,154 is: 6,993,954,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453,473,294 : 3,188,342,154 = 3,188,342,154 : x
  2. Step 2: Convert to fraction form
    1,453,473,294/3,188,342,154 = 3,188,342,154/x
  3. Step 3: Cross multiply
    1,453,473,294x = 3,188,342,154 × 3,188,342,154
  4. Step 4: Simplify right side
    1,453,473,294x = 10,165,525,690,973,360,128
  5. Step 5: Solve for x
    x = 10,165,525,690,973,360,128/1,453,473,294
  6. Step 6: Final answer
    x = 6,993,954,228.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.