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Finding the Third Proportional to 3,511,586,946 and 5,073,636,728

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Solution

The third proportional to 3,511,586,946 and 5,073,636,728 is: 7,330,528,915.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511,586,946 : 5,073,636,728 = 5,073,636,728 : x
  2. Step 2: Convert to fraction form
    3,511,586,946/5,073,636,728 = 5,073,636,728/x
  3. Step 3: Cross multiply
    3,511,586,946x = 5,073,636,728 × 5,073,636,728
  4. Step 4: Simplify right side
    3,511,586,946x = 25,741,789,647,710,547,968
  5. Step 5: Solve for x
    x = 25,741,789,647,710,547,968/3,511,586,946
  6. Step 6: Final answer
    x = 7,330,528,915.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.