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Finding the Third Proportional to 1,645,369,231.50 and 3,559,108,783.50

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Solution

The third proportional to 1,645,369,231.50 and 3,559,108,783.50 is: 7,698,731,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,369,231.50 : 3,559,108,783.50 = 3,559,108,783.50 : x
  2. Step 2: Convert to fraction form
    1,645,369,231.50/3,559,108,783.50 = 3,559,108,783.50/x
  3. Step 3: Cross multiply
    1,645,369,231.50x = 3,559,108,783.50 × 3,559,108,783.50
  4. Step 4: Simplify right side
    1,645,369,231.50x = 12,667,255,332,786,849,792
  5. Step 5: Solve for x
    x = 12,667,255,332,786,849,792/1,645,369,231.50
  6. Step 6: Final answer
    x = 7,698,731,136.01

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