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Finding the Third Proportional to 454,288,527,073.59 and 981,111,436,420.08

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Solution

The third proportional to 454,288,527,073.59 and 981,111,436,420.08 is: 2,118,872,904,132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,288,527,073.59 : 981,111,436,420.08 = 981,111,436,420.08 : x
  2. Step 2: Convert to fraction form
    454,288,527,073.59/981,111,436,420.08 = 981,111,436,420.08/x
  3. Step 3: Cross multiply
    454,288,527,073.59x = 981,111,436,420.08 × 981,111,436,420.08
  4. Step 4: Simplify right side
    454,288,527,073.59x = 962,579,650,674,272,612,909,056
  5. Step 5: Solve for x
    x = 962,579,650,674,272,612,909,056/454,288,527,073.59
  6. Step 6: Final answer
    x = 2,118,872,904,132.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.