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Finding the Third Proportional to 20,765,833,886,819 and 30,526,697,011,047

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Solution

The third proportional to 20,765,833,886,819 and 30,526,697,011,047 is: 44,875,598,807,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765,833,886,819 : 30,526,697,011,047 = 30,526,697,011,047 : x
  2. Step 2: Convert to fraction form
    20,765,833,886,819/30,526,697,011,047 = 30,526,697,011,047/x
  3. Step 3: Cross multiply
    20,765,833,886,819x = 30,526,697,011,047 × 30,526,697,011,047
  4. Step 4: Simplify right side
    20,765,833,886,819x = 931,879,230,404,265,822,648,270,848
  5. Step 5: Solve for x
    x = 931,879,230,404,265,822,648,270,848/20,765,833,886,819
  6. Step 6: Final answer
    x = 44,875,598,807,316.43

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Why These Related Problems?

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