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Finding the Third Proportional to 1,644,368,496 and 2,421,133,128

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Solution

The third proportional to 1,644,368,496 and 2,421,133,128 is: 3,564,824,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,368,496 : 2,421,133,128 = 2,421,133,128 : x
  2. Step 2: Convert to fraction form
    1,644,368,496/2,421,133,128 = 2,421,133,128/x
  3. Step 3: Cross multiply
    1,644,368,496x = 2,421,133,128 × 2,421,133,128
  4. Step 4: Simplify right side
    1,644,368,496x = 5,861,885,623,499,064,320
  5. Step 5: Solve for x
    x = 5,861,885,623,499,064,320/1,644,368,496
  6. Step 6: Final answer
    x = 3,564,824,817.40

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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.