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Finding the Third Proportional to 876,838,368.38 and 1,908,035,608.50

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Solution

The third proportional to 876,838,368.38 and 1,908,035,608.50 is: 4,151,962,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,838,368.38 : 1,908,035,608.50 = 1,908,035,608.50 : x
  2. Step 2: Convert to fraction form
    876,838,368.38/1,908,035,608.50 = 1,908,035,608.50/x
  3. Step 3: Cross multiply
    876,838,368.38x = 1,908,035,608.50 × 1,908,035,608.50
  4. Step 4: Simplify right side
    876,838,368.38x = 3,640,599,883,303,965,184
  5. Step 5: Solve for x
    x = 3,640,599,883,303,965,184/876,838,368.38
  6. Step 6: Final answer
    x = 4,151,962,339.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.