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Finding the Third Proportional to 145,693,137,852 and 324,885,849,612

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Solution

The third proportional to 145,693,137,852 and 324,885,849,612 is: 724,473,484,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,693,137,852 : 324,885,849,612 = 324,885,849,612 : x
  2. Step 2: Convert to fraction form
    145,693,137,852/324,885,849,612 = 324,885,849,612/x
  3. Step 3: Cross multiply
    145,693,137,852x = 324,885,849,612 × 324,885,849,612
  4. Step 4: Simplify right side
    145,693,137,852x = 105,550,815,278,111,087,656,960
  5. Step 5: Solve for x
    x = 105,550,815,278,111,087,656,960/145,693,137,852
  6. Step 6: Final answer
    x = 724,473,484,710.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.