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Finding the Third Proportional to 30,898,203.50 and 46,744,976.50

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Solution

The third proportional to 30,898,203.50 and 46,744,976.50 is: 70,719,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898,203.50 : 46,744,976.50 = 46,744,976.50 : x
  2. Step 2: Convert to fraction form
    30,898,203.50/46,744,976.50 = 46,744,976.50/x
  3. Step 3: Cross multiply
    30,898,203.50x = 46,744,976.50 × 46,744,976.50
  4. Step 4: Simplify right side
    30,898,203.50x = 2,185,092,827,985,552.25
  5. Step 5: Solve for x
    x = 2,185,092,827,985,552.25/30,898,203.50
  6. Step 6: Final answer
    x = 70,719,089.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.