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Finding the Third Proportional to 4,516,818,300 and 9,784,031,292

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Solution

The third proportional to 4,516,818,300 and 9,784,031,292 is: 21,193,517,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516,818,300 : 9,784,031,292 = 9,784,031,292 : x
  2. Step 2: Convert to fraction form
    4,516,818,300/9,784,031,292 = 9,784,031,292/x
  3. Step 3: Cross multiply
    4,516,818,300x = 9,784,031,292 × 9,784,031,292
  4. Step 4: Simplify right side
    4,516,818,300x = 95,727,268,322,835,185,664
  5. Step 5: Solve for x
    x = 95,727,268,322,835,185,664/4,516,818,300
  6. Step 6: Final answer
    x = 21,193,517,641.13

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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.