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Finding the Third Proportional to 921,765,086 and 1,347,652,776

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Solution

The third proportional to 921,765,086 and 1,347,652,776 is: 1,970,315,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,765,086 : 1,347,652,776 = 1,347,652,776 : x
  2. Step 2: Convert to fraction form
    921,765,086/1,347,652,776 = 1,347,652,776/x
  3. Step 3: Cross multiply
    921,765,086x = 1,347,652,776 × 1,347,652,776
  4. Step 4: Simplify right side
    921,765,086x = 1,816,168,004,660,506,112
  5. Step 5: Solve for x
    x = 1,816,168,004,660,506,112/921,765,086
  6. Step 6: Final answer
    x = 1,970,315,465.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.