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Finding the Third Proportional to 745,176,030 and 1,625,703,372

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Solution

The third proportional to 745,176,030 and 1,625,703,372 is: 3,546,694,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,176,030 : 1,625,703,372 = 1,625,703,372 : x
  2. Step 2: Convert to fraction form
    745,176,030/1,625,703,372 = 1,625,703,372/x
  3. Step 3: Cross multiply
    745,176,030x = 1,625,703,372 × 1,625,703,372
  4. Step 4: Simplify right side
    745,176,030x = 2,642,911,453,732,170,240
  5. Step 5: Solve for x
    x = 2,642,911,453,732,170,240/745,176,030
  6. Step 6: Final answer
    x = 3,546,694,133.11

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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.