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Finding the Third Proportional to 19,975,543.50 and 46,671,879.75

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Solution

The third proportional to 19,975,543.50 and 46,671,879.75 is: 109,046,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,975,543.50 : 46,671,879.75 = 46,671,879.75 : x
  2. Step 2: Convert to fraction form
    19,975,543.50/46,671,879.75 = 46,671,879.75/x
  3. Step 3: Cross multiply
    19,975,543.50x = 46,671,879.75 × 46,671,879.75
  4. Step 4: Simplify right side
    19,975,543.50x = 2,178,264,359,398,460
  5. Step 5: Solve for x
    x = 2,178,264,359,398,460/19,975,543.50
  6. Step 6: Final answer
    x = 109,046,562.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.