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Finding the Third Proportional to 316,013,984 and 678,622,296

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Solution

The third proportional to 316,013,984 and 678,622,296 is: 1,457,303,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,013,984 : 678,622,296 = 678,622,296 : x
  2. Step 2: Convert to fraction form
    316,013,984/678,622,296 = 678,622,296/x
  3. Step 3: Cross multiply
    316,013,984x = 678,622,296 × 678,622,296
  4. Step 4: Simplify right side
    316,013,984x = 460,528,220,628,311,616
  5. Step 5: Solve for x
    x = 460,528,220,628,311,616/316,013,984
  6. Step 6: Final answer
    x = 1,457,303,296.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.