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Finding the Third Proportional to 520,934,015,070 and 1,128,411,071,226

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Solution

The third proportional to 520,934,015,070 and 1,128,411,071,226 is: 2,444,285,665,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,934,015,070 : 1,128,411,071,226 = 1,128,411,071,226 : x
  2. Step 2: Convert to fraction form
    520,934,015,070/1,128,411,071,226 = 1,128,411,071,226/x
  3. Step 3: Cross multiply
    520,934,015,070x = 1,128,411,071,226 × 1,128,411,071,226
  4. Step 4: Simplify right side
    520,934,015,070x = 1,273,311,545,665,408,836,042,752
  5. Step 5: Solve for x
    x = 1,273,311,545,665,408,836,042,752/520,934,015,070
  6. Step 6: Final answer
    x = 2,444,285,665,420.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.