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Finding the Third Proportional to 18,968,091,730,689 and 25,592,409,349,071

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Solution

The third proportional to 18,968,091,730,689 and 25,592,409,349,071 is: 34,530,169,169,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,968,091,730,689 : 25,592,409,349,071 = 25,592,409,349,071 : x
  2. Step 2: Convert to fraction form
    18,968,091,730,689/25,592,409,349,071 = 25,592,409,349,071/x
  3. Step 3: Cross multiply
    18,968,091,730,689x = 25,592,409,349,071 × 25,592,409,349,071
  4. Step 4: Simplify right side
    18,968,091,730,689x = 654,971,416,290,416,734,733,598,720
  5. Step 5: Solve for x
    x = 654,971,416,290,416,734,733,598,720/18,968,091,730,689
  6. Step 6: Final answer
    x = 34,530,169,169,875.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.