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Finding the Third Proportional to 1,054,362,476 and 2,195,993,056

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Solution

The third proportional to 1,054,362,476 and 2,195,993,056 is: 4,573,745,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,362,476 : 2,195,993,056 = 2,195,993,056 : x
  2. Step 2: Convert to fraction form
    1,054,362,476/2,195,993,056 = 2,195,993,056/x
  3. Step 3: Cross multiply
    1,054,362,476x = 2,195,993,056 × 2,195,993,056
  4. Step 4: Simplify right side
    1,054,362,476x = 4,822,385,502,000,219,136
  5. Step 5: Solve for x
    x = 4,822,385,502,000,219,136/1,054,362,476
  6. Step 6: Final answer
    x = 4,573,745,378.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.