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Finding the Third Proportional to 2,938,619,754 and 6,393,780,477

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Solution

The third proportional to 2,938,619,754 and 6,393,780,477 is: 13,911,438,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938,619,754 : 6,393,780,477 = 6,393,780,477 : x
  2. Step 2: Convert to fraction form
    2,938,619,754/6,393,780,477 = 6,393,780,477/x
  3. Step 3: Cross multiply
    2,938,619,754x = 6,393,780,477 × 6,393,780,477
  4. Step 4: Simplify right side
    2,938,619,754x = 40,880,428,788,066,344,960
  5. Step 5: Solve for x
    x = 40,880,428,788,066,344,960/2,938,619,754
  6. Step 6: Final answer
    x = 13,911,438,774.08

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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.