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Finding the Third Proportional to 10,611,378 and 22,735,612.50

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Solution

The third proportional to 10,611,378 and 22,735,612.50 is: 48,712,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611,378 : 22,735,612.50 = 22,735,612.50 : x
  2. Step 2: Convert to fraction form
    10,611,378/22,735,612.50 = 22,735,612.50/x
  3. Step 3: Cross multiply
    10,611,378x = 22,735,612.50 × 22,735,612.50
  4. Step 4: Simplify right side
    10,611,378x = 516,908,075,750,156.25
  5. Step 5: Solve for x
    x = 516,908,075,750,156.25/10,611,378
  6. Step 6: Final answer
    x = 48,712,624.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.