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Finding the Third Proportional to 688,628,210 and 1,475,498,275

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Solution

The third proportional to 688,628,210 and 1,475,498,275 is: 3,161,495,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,628,210 : 1,475,498,275 = 1,475,498,275 : x
  2. Step 2: Convert to fraction form
    688,628,210/1,475,498,275 = 1,475,498,275/x
  3. Step 3: Cross multiply
    688,628,210x = 1,475,498,275 × 1,475,498,275
  4. Step 4: Simplify right side
    688,628,210x = 2,177,095,159,527,975,680
  5. Step 5: Solve for x
    x = 2,177,095,159,527,975,680/688,628,210
  6. Step 6: Final answer
    x = 3,161,495,750.41

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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.