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Finding the Third Proportional to 640,461,056.63 and 967,515,435

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Solution

The third proportional to 640,461,056.63 and 967,515,435 is: 1,461,581,632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,461,056.63 : 967,515,435 = 967,515,435 : x
  2. Step 2: Convert to fraction form
    640,461,056.63/967,515,435 = 967,515,435/x
  3. Step 3: Cross multiply
    640,461,056.63x = 967,515,435 × 967,515,435
  4. Step 4: Simplify right side
    640,461,056.63x = 936,086,116,963,239,168
  5. Step 5: Solve for x
    x = 936,086,116,963,239,168/640,461,056.63
  6. Step 6: Final answer
    x = 1,461,581,632.92

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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.