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Finding the Third Proportional to 847,759,533 and 1,145,038,233

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Solution

The third proportional to 847,759,533 and 1,145,038,233 is: 1,546,561,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,759,533 : 1,145,038,233 = 1,145,038,233 : x
  2. Step 2: Convert to fraction form
    847,759,533/1,145,038,233 = 1,145,038,233/x
  3. Step 3: Cross multiply
    847,759,533x = 1,145,038,233 × 1,145,038,233
  4. Step 4: Simplify right side
    847,759,533x = 1,311,112,555,031,762,176
  5. Step 5: Solve for x
    x = 1,311,112,555,031,762,176/847,759,533
  6. Step 6: Final answer
    x = 1,546,561,853.92

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