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Finding the Third Proportional to 173,266,698,890 and 370,378,424,709

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Solution

The third proportional to 173,266,698,890 and 370,378,424,709 is: 791,728,464,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,266,698,890 : 370,378,424,709 = 370,378,424,709 : x
  2. Step 2: Convert to fraction form
    173,266,698,890/370,378,424,709 = 370,378,424,709/x
  3. Step 3: Cross multiply
    173,266,698,890x = 370,378,424,709 × 370,378,424,709
  4. Step 4: Simplify right side
    173,266,698,890x = 137,180,177,489,920,390,070,272
  5. Step 5: Solve for x
    x = 137,180,177,489,920,390,070,272/173,266,698,890
  6. Step 6: Final answer
    x = 791,728,464,665.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.