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Finding the Third Proportional to 173,312,700,642 and 377,393,542,506

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Solution

The third proportional to 173,312,700,642 and 377,393,542,506 is: 821,785,624,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,312,700,642 : 377,393,542,506 = 377,393,542,506 : x
  2. Step 2: Convert to fraction form
    173,312,700,642/377,393,542,506 = 377,393,542,506/x
  3. Step 3: Cross multiply
    173,312,700,642x = 377,393,542,506 × 377,393,542,506
  4. Step 4: Simplify right side
    173,312,700,642x = 142,425,885,925,228,029,149,184
  5. Step 5: Solve for x
    x = 142,425,885,925,228,029,149,184/173,312,700,642
  6. Step 6: Final answer
    x = 821,785,624,467.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.