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Finding the Third Proportional to 6,774,665,014 and 14,675,069,681

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Solution

The third proportional to 6,774,665,014 and 14,675,069,681 is: 31,788,681,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774,665,014 : 14,675,069,681 = 14,675,069,681 : x
  2. Step 2: Convert to fraction form
    6,774,665,014/14,675,069,681 = 14,675,069,681/x
  3. Step 3: Cross multiply
    6,774,665,014x = 14,675,069,681 × 14,675,069,681
  4. Step 4: Simplify right side
    6,774,665,014x = 215,357,670,142,205,427,712
  5. Step 5: Solve for x
    x = 215,357,670,142,205,427,712/6,774,665,014
  6. Step 6: Final answer
    x = 31,788,681,757.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.