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Finding the Third Proportional to 414,150,030 and 659,312,487

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Solution

The third proportional to 414,150,030 and 659,312,487 is: 1,049,602,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,150,030 : 659,312,487 = 659,312,487 : x
  2. Step 2: Convert to fraction form
    414,150,030/659,312,487 = 659,312,487/x
  3. Step 3: Cross multiply
    414,150,030x = 659,312,487 × 659,312,487
  4. Step 4: Simplify right side
    414,150,030x = 434,692,955,514,125,184
  5. Step 5: Solve for x
    x = 434,692,955,514,125,184/414,150,030
  6. Step 6: Final answer
    x = 1,049,602,617.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.