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Finding the Third Proportional to 592,646,596.50 and 1,276,318,623

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Solution

The third proportional to 592,646,596.50 and 1,276,318,623 is: 2,748,668,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,646,596.50 : 1,276,318,623 = 1,276,318,623 : x
  2. Step 2: Convert to fraction form
    592,646,596.50/1,276,318,623 = 1,276,318,623/x
  3. Step 3: Cross multiply
    592,646,596.50x = 1,276,318,623 × 1,276,318,623
  4. Step 4: Simplify right side
    592,646,596.50x = 1,628,989,227,416,616,192
  5. Step 5: Solve for x
    x = 1,628,989,227,416,616,192/592,646,596.50
  6. Step 6: Final answer
    x = 2,748,668,830.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.