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Finding the Third Proportional to 21,701,685.75 and 46,810,663.50

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Solution

The third proportional to 21,701,685.75 and 46,810,663.50 is: 100,970,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701,685.75 : 46,810,663.50 = 46,810,663.50 : x
  2. Step 2: Convert to fraction form
    21,701,685.75/46,810,663.50 = 46,810,663.50/x
  3. Step 3: Cross multiply
    21,701,685.75x = 46,810,663.50 × 46,810,663.50
  4. Step 4: Simplify right side
    21,701,685.75x = 2,191,238,217,310,232.25
  5. Step 5: Solve for x
    x = 2,191,238,217,310,232.25/21,701,685.75
  6. Step 6: Final answer
    x = 100,970,875.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.