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Finding the Third Proportional to 342,072,032 and 746,868,682

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Solution

The third proportional to 342,072,032 and 746,868,682 is: 1,630,688,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,072,032 : 746,868,682 = 746,868,682 : x
  2. Step 2: Convert to fraction form
    342,072,032/746,868,682 = 746,868,682/x
  3. Step 3: Cross multiply
    342,072,032x = 746,868,682 × 746,868,682
  4. Step 4: Simplify right side
    342,072,032x = 557,812,828,152,417,152
  5. Step 5: Solve for x
    x = 557,812,828,152,417,152/342,072,032
  6. Step 6: Final answer
    x = 1,630,688,205.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.