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Finding the Third Proportional to 384,938,573.06 and 790,283,908.97

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Solution

The third proportional to 384,938,573.06 and 790,283,908.97 is: 1,622,463,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,938,573.06 : 790,283,908.97 = 790,283,908.97 : x
  2. Step 2: Convert to fraction form
    384,938,573.06/790,283,908.97 = 790,283,908.97/x
  3. Step 3: Cross multiply
    384,938,573.06x = 790,283,908.97 × 790,283,908.97
  4. Step 4: Simplify right side
    384,938,573.06x = 624,548,656,774,927,488
  5. Step 5: Solve for x
    x = 624,548,656,774,927,488/384,938,573.06
  6. Step 6: Final answer
    x = 1,622,463,168.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.