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Finding the Third Proportional to 63,771,089,058 and 137,006,012,988.01

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Solution

The third proportional to 63,771,089,058 and 137,006,012,988.01 is: 294,344,159,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,771,089,058 : 137,006,012,988.01 = 137,006,012,988.01 : x
  2. Step 2: Convert to fraction form
    63,771,089,058/137,006,012,988.01 = 137,006,012,988.01/x
  3. Step 3: Cross multiply
    63,771,089,058x = 137,006,012,988.01 × 137,006,012,988.01
  4. Step 4: Simplify right side
    63,771,089,058x = 18,770,647,594,870,763,421,696
  5. Step 5: Solve for x
    x = 18,770,647,594,870,763,421,696/63,771,089,058
  6. Step 6: Final answer
    x = 294,344,159,275.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.