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Finding the Third Proportional to 1,226,450,258,532 and 2,668,863,209,544

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Solution

The third proportional to 1,226,450,258,532 and 2,668,863,209,544 is: 5,807,680,158,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,450,258,532 : 2,668,863,209,544 = 2,668,863,209,544 : x
  2. Step 2: Convert to fraction form
    1,226,450,258,532/2,668,863,209,544 = 2,668,863,209,544/x
  3. Step 3: Cross multiply
    1,226,450,258,532x = 2,668,863,209,544 × 2,668,863,209,544
  4. Step 4: Simplify right side
    1,226,450,258,532x = 7,122,830,831,257,501,176,954,880
  5. Step 5: Solve for x
    x = 7,122,830,831,257,501,176,954,880/1,226,450,258,532
  6. Step 6: Final answer
    x = 5,807,680,158,005.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.