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Finding the Third Proportional to 6,133,144,310 and 13,340,878,968

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Solution

The third proportional to 6,133,144,310 and 13,340,878,968 is: 29,019,217,980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133,144,310 : 13,340,878,968 = 13,340,878,968 : x
  2. Step 2: Convert to fraction form
    6,133,144,310/13,340,878,968 = 13,340,878,968/x
  3. Step 3: Cross multiply
    6,133,144,310x = 13,340,878,968 × 13,340,878,968
  4. Step 4: Simplify right side
    6,133,144,310x = 177,979,051,638,824,730,624
  5. Step 5: Solve for x
    x = 177,979,051,638,824,730,624/6,133,144,310
  6. Step 6: Final answer
    x = 29,019,217,980.67

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Why These Related Problems?

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