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Finding the Third Proportional to 5,470,941,616 and 12,902,000,566

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Solution

The third proportional to 5,470,941,616 and 12,902,000,566 is: 30,426,502,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,941,616 : 12,902,000,566 = 12,902,000,566 : x
  2. Step 2: Convert to fraction form
    5,470,941,616/12,902,000,566 = 12,902,000,566/x
  3. Step 3: Cross multiply
    5,470,941,616x = 12,902,000,566 × 12,902,000,566
  4. Step 4: Simplify right side
    5,470,941,616x = 166,461,618,605,064,323,072
  5. Step 5: Solve for x
    x = 166,461,618,605,064,323,072/5,470,941,616
  6. Step 6: Final answer
    x = 30,426,502,472.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.