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Finding the Third Proportional to 46,069,984 and 100,791,936

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Solution

The third proportional to 46,069,984 and 100,791,936 is: 220,512,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,069,984 : 100,791,936 = 100,791,936 : x
  2. Step 2: Convert to fraction form
    46,069,984/100,791,936 = 100,791,936/x
  3. Step 3: Cross multiply
    46,069,984x = 100,791,936 × 100,791,936
  4. Step 4: Simplify right side
    46,069,984x = 10,159,014,362,628,096
  5. Step 5: Solve for x
    x = 10,159,014,362,628,096/46,069,984
  6. Step 6: Final answer
    x = 220,512,652.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.