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Finding the Third Proportional to 20,765,833,886,821 and 30,526,697,011,050

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Solution

The third proportional to 20,765,833,886,821 and 30,526,697,011,050 is: 44,875,598,807,320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765,833,886,821 : 30,526,697,011,050 = 30,526,697,011,050 : x
  2. Step 2: Convert to fraction form
    20,765,833,886,821/30,526,697,011,050 = 30,526,697,011,050/x
  3. Step 3: Cross multiply
    20,765,833,886,821x = 30,526,697,011,050 × 30,526,697,011,050
  4. Step 4: Simplify right side
    20,765,833,886,821x = 931,879,230,404,449,028,773,249,024
  5. Step 5: Solve for x
    x = 931,879,230,404,449,028,773,249,024/20,765,833,886,821
  6. Step 6: Final answer
    x = 44,875,598,807,320.93

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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.