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Finding the Third Proportional to 477,828,174,945 and 1,023,812,013,840

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Solution

The third proportional to 477,828,174,945 and 1,023,812,013,840 is: 2,193,656,830,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,828,174,945 : 1,023,812,013,840 = 1,023,812,013,840 : x
  2. Step 2: Convert to fraction form
    477,828,174,945/1,023,812,013,840 = 1,023,812,013,840/x
  3. Step 3: Cross multiply
    477,828,174,945x = 1,023,812,013,840 × 1,023,812,013,840
  4. Step 4: Simplify right side
    477,828,174,945x = 1,048,191,039,683,116,346,114,048
  5. Step 5: Solve for x
    x = 1,048,191,039,683,116,346,114,048/477,828,174,945
  6. Step 6: Final answer
    x = 2,193,656,830,310.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.