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Finding the Third Proportional to 3,045,127,864 and 4,845,397,056

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Solution

The third proportional to 3,045,127,864 and 4,845,397,056 is: 7,709,979,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045,127,864 : 4,845,397,056 = 4,845,397,056 : x
  2. Step 2: Convert to fraction form
    3,045,127,864/4,845,397,056 = 4,845,397,056/x
  3. Step 3: Cross multiply
    3,045,127,864x = 4,845,397,056 × 4,845,397,056
  4. Step 4: Simplify right side
    3,045,127,864x = 23,477,872,630,293,467,136
  5. Step 5: Solve for x
    x = 23,477,872,630,293,467,136/3,045,127,864
  6. Step 6: Final answer
    x = 7,709,979,245.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.