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Finding the Third Proportional to 1,437,664,453.50 and 2,054,459,898

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Solution

The third proportional to 1,437,664,453.50 and 2,054,459,898 is: 2,935,876,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437,664,453.50 : 2,054,459,898 = 2,054,459,898 : x
  2. Step 2: Convert to fraction form
    1,437,664,453.50/2,054,459,898 = 2,054,459,898/x
  3. Step 3: Cross multiply
    1,437,664,453.50x = 2,054,459,898 × 2,054,459,898
  4. Step 4: Simplify right side
    1,437,664,453.50x = 4,220,805,472,490,170,368
  5. Step 5: Solve for x
    x = 4,220,805,472,490,170,368/1,437,664,453.50
  6. Step 6: Final answer
    x = 2,935,876,631.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.