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Finding the Third Proportional to 2,176,622,184 and 4,444,604,094

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Solution

The third proportional to 2,176,622,184 and 4,444,604,094 is: 9,075,762,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176,622,184 : 4,444,604,094 = 4,444,604,094 : x
  2. Step 2: Convert to fraction form
    2,176,622,184/4,444,604,094 = 4,444,604,094/x
  3. Step 3: Cross multiply
    2,176,622,184x = 4,444,604,094 × 4,444,604,094
  4. Step 4: Simplify right side
    2,176,622,184x = 19,754,505,552,401,559,552
  5. Step 5: Solve for x
    x = 19,754,505,552,401,559,552/2,176,622,184
  6. Step 6: Final answer
    x = 9,075,762,297.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.