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Finding the Third Proportional to 916,296,972 and 1,942,541,266.50

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Solution

The third proportional to 916,296,972 and 1,942,541,266.50 is: 4,118,169,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,296,972 : 1,942,541,266.50 = 1,942,541,266.50 : x
  2. Step 2: Convert to fraction form
    916,296,972/1,942,541,266.50 = 1,942,541,266.50/x
  3. Step 3: Cross multiply
    916,296,972x = 1,942,541,266.50 × 1,942,541,266.50
  4. Step 4: Simplify right side
    916,296,972x = 3,773,466,572,055,424,000
  5. Step 5: Solve for x
    x = 3,773,466,572,055,424,000/916,296,972
  6. Step 6: Final answer
    x = 4,118,169,859.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.