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Finding the Third Proportional to 7,849,966,188 and 15,930,599,640

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Solution

The third proportional to 7,849,966,188 and 15,930,599,640 is: 32,329,311,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849,966,188 : 15,930,599,640 = 15,930,599,640 : x
  2. Step 2: Convert to fraction form
    7,849,966,188/15,930,599,640 = 15,930,599,640/x
  3. Step 3: Cross multiply
    7,849,966,188x = 15,930,599,640 × 15,930,599,640
  4. Step 4: Simplify right side
    7,849,966,188x = 253,784,004,889,968,115,712
  5. Step 5: Solve for x
    x = 253,784,004,889,968,115,712/7,849,966,188
  6. Step 6: Final answer
    x = 32,329,311,848.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.