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Finding the Third Proportional to 45,673,980 and 69,957,673.50

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Solution

The third proportional to 45,673,980 and 69,957,673.50 is: 107,152,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,673,980 : 69,957,673.50 = 69,957,673.50 : x
  2. Step 2: Convert to fraction form
    45,673,980/69,957,673.50 = 69,957,673.50/x
  3. Step 3: Cross multiply
    45,673,980x = 69,957,673.50 × 69,957,673.50
  4. Step 4: Simplify right side
    45,673,980x = 4,894,076,081,532,602
  5. Step 5: Solve for x
    x = 4,894,076,081,532,602/45,673,980
  6. Step 6: Final answer
    x = 107,152,389.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.