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Finding the Third Proportional to 601,083,963 and 919,502,563.50

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Solution

The third proportional to 601,083,963 and 919,502,563.50 is: 1,406,600,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,083,963 : 919,502,563.50 = 919,502,563.50 : x
  2. Step 2: Convert to fraction form
    601,083,963/919,502,563.50 = 919,502,563.50/x
  3. Step 3: Cross multiply
    601,083,963x = 919,502,563.50 × 919,502,563.50
  4. Step 4: Simplify right side
    601,083,963x = 845,484,964,283,071,488
  5. Step 5: Solve for x
    x = 845,484,964,283,071,488/601,083,963
  6. Step 6: Final answer
    x = 1,406,600,435.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.