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Finding the Third Proportional to 590,098,036.50 and 866,015,106.75

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Solution

The third proportional to 590,098,036.50 and 866,015,106.75 is: 1,270,945,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,098,036.50 : 866,015,106.75 = 866,015,106.75 : x
  2. Step 2: Convert to fraction form
    590,098,036.50/866,015,106.75 = 866,015,106.75/x
  3. Step 3: Cross multiply
    590,098,036.50x = 866,015,106.75 × 866,015,106.75
  4. Step 4: Simplify right side
    590,098,036.50x = 749,982,165,119,213,952
  5. Step 5: Solve for x
    x = 749,982,165,119,213,952/590,098,036.50
  6. Step 6: Final answer
    x = 1,270,945,027.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.