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Finding the Third Proportional to 1,371,476,463 and 3,004,969,944

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Solution

The third proportional to 1,371,476,463 and 3,004,969,944 is: 6,584,031,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371,476,463 : 3,004,969,944 = 3,004,969,944 : x
  2. Step 2: Convert to fraction form
    1,371,476,463/3,004,969,944 = 3,004,969,944/x
  3. Step 3: Cross multiply
    1,371,476,463x = 3,004,969,944 × 3,004,969,944
  4. Step 4: Simplify right side
    1,371,476,463x = 9,029,844,364,343,363,584
  5. Step 5: Solve for x
    x = 9,029,844,364,343,363,584/1,371,476,463
  6. Step 6: Final answer
    x = 6,584,031,595.11

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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.