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Finding the Third Proportional to 7,576,745,772,580 and 15,555,156,911,260

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Solution

The third proportional to 7,576,745,772,580 and 15,555,156,911,260 is: 31,934,938,005,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576,745,772,580 : 15,555,156,911,260 = 15,555,156,911,260 : x
  2. Step 2: Convert to fraction form
    7,576,745,772,580/15,555,156,911,260 = 15,555,156,911,260/x
  3. Step 3: Cross multiply
    7,576,745,772,580x = 15,555,156,911,260 × 15,555,156,911,260
  4. Step 4: Simplify right side
    7,576,745,772,580x = 241,962,906,533,919,747,391,619,072
  5. Step 5: Solve for x
    x = 241,962,906,533,919,747,391,619,072/7,576,745,772,580
  6. Step 6: Final answer
    x = 31,934,938,005,914.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.