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Finding the Third Proportional to 1,708,907,570 and 3,508,409,428

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Solution

The third proportional to 1,708,907,570 and 3,508,409,428 is: 7,202,810,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708,907,570 : 3,508,409,428 = 3,508,409,428 : x
  2. Step 2: Convert to fraction form
    1,708,907,570/3,508,409,428 = 3,508,409,428/x
  3. Step 3: Cross multiply
    1,708,907,570x = 3,508,409,428 × 3,508,409,428
  4. Step 4: Simplify right side
    1,708,907,570x = 12,308,936,714,479,286,272
  5. Step 5: Solve for x
    x = 12,308,936,714,479,286,272/1,708,907,570
  6. Step 6: Final answer
    x = 7,202,810,105.45

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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.