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Finding the Third Proportional to 26,403,663.50 and 42,013,409.50

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Solution

The third proportional to 26,403,663.50 and 42,013,409.50 is: 66,851,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,403,663.50 : 42,013,409.50 = 42,013,409.50 : x
  2. Step 2: Convert to fraction form
    26,403,663.50/42,013,409.50 = 42,013,409.50/x
  3. Step 3: Cross multiply
    26,403,663.50x = 42,013,409.50 × 42,013,409.50
  4. Step 4: Simplify right side
    26,403,663.50x = 1,765,126,577,814,690.25
  5. Step 5: Solve for x
    x = 1,765,126,577,814,690.25/26,403,663.50
  6. Step 6: Final answer
    x = 66,851,578.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.