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Finding the Third Proportional to 423,458,011.69 and 917,265,525.75

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Solution

The third proportional to 423,458,011.69 and 917,265,525.75 is: 1,986,917,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,458,011.69 : 917,265,525.75 = 917,265,525.75 : x
  2. Step 2: Convert to fraction form
    423,458,011.69/917,265,525.75 = 917,265,525.75/x
  3. Step 3: Cross multiply
    423,458,011.69x = 917,265,525.75 × 917,265,525.75
  4. Step 4: Simplify right side
    423,458,011.69x = 841,376,044,729,423,872
  5. Step 5: Solve for x
    x = 841,376,044,729,423,872/423,458,011.69
  6. Step 6: Final answer
    x = 1,986,917,289.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.