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Finding the Third Proportional to 883,380,598.50 and 1,913,983,314

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Solution

The third proportional to 883,380,598.50 and 1,913,983,314 is: 4,146,946,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,380,598.50 : 1,913,983,314 = 1,913,983,314 : x
  2. Step 2: Convert to fraction form
    883,380,598.50/1,913,983,314 = 1,913,983,314/x
  3. Step 3: Cross multiply
    883,380,598.50x = 1,913,983,314 × 1,913,983,314
  4. Step 4: Simplify right side
    883,380,598.50x = 3,663,332,126,270,422,528
  5. Step 5: Solve for x
    x = 3,663,332,126,270,422,528/883,380,598.50
  6. Step 6: Final answer
    x = 4,146,946,551.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.