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Finding the Third Proportional to 698,190,060 and 1,518,961,380

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Solution

The third proportional to 698,190,060 and 1,518,961,380 is: 3,304,606,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,190,060 : 1,518,961,380 = 1,518,961,380 : x
  2. Step 2: Convert to fraction form
    698,190,060/1,518,961,380 = 1,518,961,380/x
  3. Step 3: Cross multiply
    698,190,060x = 1,518,961,380 × 1,518,961,380
  4. Step 4: Simplify right side
    698,190,060x = 2,307,243,673,931,504,640
  5. Step 5: Solve for x
    x = 2,307,243,673,931,504,640/698,190,060
  6. Step 6: Final answer
    x = 3,304,606,877.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.