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Finding the Third Proportional to 864,381,066 and 1,892,695,764

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Solution

The third proportional to 864,381,066 and 1,892,695,764 is: 4,144,349,518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,381,066 : 1,892,695,764 = 1,892,695,764 : x
  2. Step 2: Convert to fraction form
    864,381,066/1,892,695,764 = 1,892,695,764/x
  3. Step 3: Cross multiply
    864,381,066x = 1,892,695,764 × 1,892,695,764
  4. Step 4: Simplify right side
    864,381,066x = 3,582,297,255,063,543,808
  5. Step 5: Solve for x
    x = 3,582,297,255,063,543,808/864,381,066
  6. Step 6: Final answer
    x = 4,144,349,518.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.