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Finding the Third Proportional to 425,626,647 and 641,484,336

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Solution

The third proportional to 425,626,647 and 641,484,336 is: 966,814,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,626,647 : 641,484,336 = 641,484,336 : x
  2. Step 2: Convert to fraction form
    425,626,647/641,484,336 = 641,484,336/x
  3. Step 3: Cross multiply
    425,626,647x = 641,484,336 × 641,484,336
  4. Step 4: Simplify right side
    425,626,647x = 411,502,153,333,360,896
  5. Step 5: Solve for x
    x = 411,502,153,333,360,896/425,626,647
  6. Step 6: Final answer
    x = 966,814,827.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.