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Finding the Third Proportional to 592,896,609 and 1,287,858,289.50

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Solution

The third proportional to 592,896,609 and 1,287,858,289.50 is: 2,797,416,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,896,609 : 1,287,858,289.50 = 1,287,858,289.50 : x
  2. Step 2: Convert to fraction form
    592,896,609/1,287,858,289.50 = 1,287,858,289.50/x
  3. Step 3: Cross multiply
    592,896,609x = 1,287,858,289.50 × 1,287,858,289.50
  4. Step 4: Simplify right side
    592,896,609x = 1,658,578,973,833,865,728
  5. Step 5: Solve for x
    x = 1,658,578,973,833,865,728/592,896,609
  6. Step 6: Final answer
    x = 2,797,416,866.04

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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.