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Finding the Third Proportional to 175,774,683 and 371,478,360

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Solution

The third proportional to 175,774,683 and 371,478,360 is: 785,074,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,774,683 : 371,478,360 = 371,478,360 : x
  2. Step 2: Convert to fraction form
    175,774,683/371,478,360 = 371,478,360/x
  3. Step 3: Cross multiply
    175,774,683x = 371,478,360 × 371,478,360
  4. Step 4: Simplify right side
    175,774,683x = 137,996,171,948,289,600
  5. Step 5: Solve for x
    x = 137,996,171,948,289,600/175,774,683
  6. Step 6: Final answer
    x = 785,074,218.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.