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Finding the Third Proportional to 318,382,798 and 685,474,460

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Solution

The third proportional to 318,382,798 and 685,474,460 is: 1,475,818,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,382,798 : 685,474,460 = 685,474,460 : x
  2. Step 2: Convert to fraction form
    318,382,798/685,474,460 = 685,474,460/x
  3. Step 3: Cross multiply
    318,382,798x = 685,474,460 × 685,474,460
  4. Step 4: Simplify right side
    318,382,798x = 469,875,235,312,291,584
  5. Step 5: Solve for x
    x = 469,875,235,312,291,584/318,382,798
  6. Step 6: Final answer
    x = 1,475,818,537.51

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