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Finding the Third Proportional to 563,601,088 and 905,985,768

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Solution

The third proportional to 563,601,088 and 905,985,768 is: 1,456,367,330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,601,088 : 905,985,768 = 905,985,768 : x
  2. Step 2: Convert to fraction form
    563,601,088/905,985,768 = 905,985,768/x
  3. Step 3: Cross multiply
    563,601,088x = 905,985,768 × 905,985,768
  4. Step 4: Simplify right side
    563,601,088x = 820,810,211,818,549,760
  5. Step 5: Solve for x
    x = 820,810,211,818,549,760/563,601,088
  6. Step 6: Final answer
    x = 1,456,367,330.18

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.