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Finding the Third Proportional to 6,806,319,072 and 14,774,255,904

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Solution

The third proportional to 6,806,319,072 and 14,774,255,904 is: 32,069,997,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806,319,072 : 14,774,255,904 = 14,774,255,904 : x
  2. Step 2: Convert to fraction form
    6,806,319,072/14,774,255,904 = 14,774,255,904/x
  3. Step 3: Cross multiply
    6,806,319,072x = 14,774,255,904 × 14,774,255,904
  4. Step 4: Simplify right side
    6,806,319,072x = 218,278,637,516,878,872,576
  5. Step 5: Solve for x
    x = 218,278,637,516,878,872,576/6,806,319,072
  6. Step 6: Final answer
    x = 32,069,997,778.22

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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.