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Finding the Third Proportional to 6,966,599,930 and 15,041,434,516

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Solution

The third proportional to 6,966,599,930 and 15,041,434,516 is: 32,475,634,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966,599,930 : 15,041,434,516 = 15,041,434,516 : x
  2. Step 2: Convert to fraction form
    6,966,599,930/15,041,434,516 = 15,041,434,516/x
  3. Step 3: Cross multiply
    6,966,599,930x = 15,041,434,516 × 15,041,434,516
  4. Step 4: Simplify right side
    6,966,599,930x = 226,244,752,299,116,167,168
  5. Step 5: Solve for x
    x = 226,244,752,299,116,167,168/6,966,599,930
  6. Step 6: Final answer
    x = 32,475,634,394.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.