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Finding the Third Proportional to 1,708,330,824 and 2,662,373,772

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Solution

The third proportional to 1,708,330,824 and 2,662,373,772 is: 4,149,216,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708,330,824 : 2,662,373,772 = 2,662,373,772 : x
  2. Step 2: Convert to fraction form
    1,708,330,824/2,662,373,772 = 2,662,373,772/x
  3. Step 3: Cross multiply
    1,708,330,824x = 2,662,373,772 × 2,662,373,772
  4. Step 4: Simplify right side
    1,708,330,824x = 7,088,234,101,833,507,840
  5. Step 5: Solve for x
    x = 7,088,234,101,833,507,840/1,708,330,824
  6. Step 6: Final answer
    x = 4,149,216,300.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.