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Finding the Third Proportional to 863,674,306 and 1,864,971,126

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Solution

The third proportional to 863,674,306 and 1,864,971,126 is: 4,027,116,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,674,306 : 1,864,971,126 = 1,864,971,126 : x
  2. Step 2: Convert to fraction form
    863,674,306/1,864,971,126 = 1,864,971,126/x
  3. Step 3: Cross multiply
    863,674,306x = 1,864,971,126 × 1,864,971,126
  4. Step 4: Simplify right side
    863,674,306x = 3,478,117,300,813,707,776
  5. Step 5: Solve for x
    x = 3,478,117,300,813,707,776/863,674,306
  6. Step 6: Final answer
    x = 4,027,116,792.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.