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Finding the Third Proportional to 954,561,546 and 1,472,701,009

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Solution

The third proportional to 954,561,546 and 1,472,701,009 is: 2,272,088,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,561,546 : 1,472,701,009 = 1,472,701,009 : x
  2. Step 2: Convert to fraction form
    954,561,546/1,472,701,009 = 1,472,701,009/x
  3. Step 3: Cross multiply
    954,561,546x = 1,472,701,009 × 1,472,701,009
  4. Step 4: Simplify right side
    954,561,546x = 2,168,848,261,909,618,176
  5. Step 5: Solve for x
    x = 2,168,848,261,909,618,176/954,561,546
  6. Step 6: Final answer
    x = 2,272,088,448.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.