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Finding the Third Proportional to 319,045,996 and 692,542,826

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Solution

The third proportional to 319,045,996 and 692,542,826 is: 1,503,280,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,045,996 : 692,542,826 = 692,542,826 : x
  2. Step 2: Convert to fraction form
    319,045,996/692,542,826 = 692,542,826/x
  3. Step 3: Cross multiply
    319,045,996x = 692,542,826 × 692,542,826
  4. Step 4: Simplify right side
    319,045,996x = 479,615,565,844,066,304
  5. Step 5: Solve for x
    x = 479,615,565,844,066,304/319,045,996
  6. Step 6: Final answer
    x = 1,503,280,316.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.