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Finding the Third Proportional to 20,765,833,886,844 and 30,526,697,011,080

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Solution

The third proportional to 20,765,833,886,844 and 30,526,697,011,080 is: 44,875,598,807,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765,833,886,844 : 30,526,697,011,080 = 30,526,697,011,080 : x
  2. Step 2: Convert to fraction form
    20,765,833,886,844/30,526,697,011,080 = 30,526,697,011,080/x
  3. Step 3: Cross multiply
    20,765,833,886,844x = 30,526,697,011,080 × 30,526,697,011,080
  4. Step 4: Simplify right side
    20,765,833,886,844x = 931,879,230,406,280,540,267,216,896
  5. Step 5: Solve for x
    x = 931,879,230,406,280,540,267,216,896/20,765,833,886,844
  6. Step 6: Final answer
    x = 44,875,598,807,359.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.