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Finding the Third Proportional to 259,010,022,843 and 577,574,843,745

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Solution

The third proportional to 259,010,022,843 and 577,574,843,745 is: 1,287,952,861,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,010,022,843 : 577,574,843,745 = 577,574,843,745 : x
  2. Step 2: Convert to fraction form
    259,010,022,843/577,574,843,745 = 577,574,843,745/x
  3. Step 3: Cross multiply
    259,010,022,843x = 577,574,843,745 × 577,574,843,745
  4. Step 4: Simplify right side
    259,010,022,843x = 333,592,700,127,061,169,143,808
  5. Step 5: Solve for x
    x = 333,592,700,127,061,169,143,808/259,010,022,843
  6. Step 6: Final answer
    x = 1,287,952,861,690.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.