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Finding the Third Proportional to 1,708,907,544 and 3,508,409,376

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Solution

The third proportional to 1,708,907,544 and 3,508,409,376 is: 7,202,810,001.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708,907,544 : 3,508,409,376 = 3,508,409,376 : x
  2. Step 2: Convert to fraction form
    1,708,907,544/3,508,409,376 = 3,508,409,376/x
  3. Step 3: Cross multiply
    1,708,907,544x = 3,508,409,376 × 3,508,409,376
  4. Step 4: Simplify right side
    1,708,907,544x = 12,308,936,349,604,708,352
  5. Step 5: Solve for x
    x = 12,308,936,349,604,708,352/1,708,907,544
  6. Step 6: Final answer
    x = 7,202,810,001.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.