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Finding the Third Proportional to 15,569,751,938 and 32,243,268,196

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Solution

The third proportional to 15,569,751,938 and 32,243,268,196 is: 66,772,312,628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,569,751,938 : 32,243,268,196 = 32,243,268,196 : x
  2. Step 2: Convert to fraction form
    15,569,751,938/32,243,268,196 = 32,243,268,196/x
  3. Step 3: Cross multiply
    15,569,751,938x = 32,243,268,196 × 32,243,268,196
  4. Step 4: Simplify right side
    15,569,751,938x = 1,039,628,343,959,185,129,472
  5. Step 5: Solve for x
    x = 1,039,628,343,959,185,129,472/15,569,751,938
  6. Step 6: Final answer
    x = 66,772,312,628.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.