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Finding the Third Proportional to 821,304,953,565.75 and 1,207,354,715,811.90

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Solution

The third proportional to 821,304,953,565.75 and 1,207,354,715,811.90 is: 1,774,864,991,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,304,953,565.75 : 1,207,354,715,811.90 = 1,207,354,715,811.90 : x
  2. Step 2: Convert to fraction form
    821,304,953,565.75/1,207,354,715,811.90 = 1,207,354,715,811.90/x
  3. Step 3: Cross multiply
    821,304,953,565.75x = 1,207,354,715,811.90 × 1,207,354,715,811.90
  4. Step 4: Simplify right side
    821,304,953,565.75x = 1,457,705,409,793,233,615,060,992
  5. Step 5: Solve for x
    x = 1,457,705,409,793,233,615,060,992/821,304,953,565.75
  6. Step 6: Final answer
    x = 1,774,864,991,943.02

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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.