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Finding the Third Proportional to 863,674,307 and 1,864,971,127

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Solution

The third proportional to 863,674,307 and 1,864,971,127 is: 4,027,116,792.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,674,307 : 1,864,971,127 = 1,864,971,127 : x
  2. Step 2: Convert to fraction form
    863,674,307/1,864,971,127 = 1,864,971,127/x
  3. Step 3: Cross multiply
    863,674,307x = 1,864,971,127 × 1,864,971,127
  4. Step 4: Simplify right side
    863,674,307x = 3,478,117,304,543,650,304
  5. Step 5: Solve for x
    x = 3,478,117,304,543,650,304/863,674,307
  6. Step 6: Final answer
    x = 4,027,116,792.01

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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.