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Finding the Third Proportional to 688,628,202 and 1,475,498,259

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Solution

The third proportional to 688,628,202 and 1,475,498,259 is: 3,161,495,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,628,202 : 1,475,498,259 = 1,475,498,259 : x
  2. Step 2: Convert to fraction form
    688,628,202/1,475,498,259 = 1,475,498,259/x
  3. Step 3: Cross multiply
    688,628,202x = 1,475,498,259 × 1,475,498,259
  4. Step 4: Simplify right side
    688,628,202x = 2,177,095,112,312,030,976
  5. Step 5: Solve for x
    x = 2,177,095,112,312,030,976/688,628,202
  6. Step 6: Final answer
    x = 3,161,495,718.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.