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Finding the Third Proportional to 10,966,219 and 23,761,075.50

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Solution

The third proportional to 10,966,219 and 23,761,075.50 is: 51,484,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966,219 : 23,761,075.50 = 23,761,075.50 : x
  2. Step 2: Convert to fraction form
    10,966,219/23,761,075.50 = 23,761,075.50/x
  3. Step 3: Cross multiply
    10,966,219x = 23,761,075.50 × 23,761,075.50
  4. Step 4: Simplify right side
    10,966,219x = 564,588,708,916,700.25
  5. Step 5: Solve for x
    x = 564,588,708,916,700.25/10,966,219
  6. Step 6: Final answer
    x = 51,484,354.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.