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Finding the Third Proportional to 921,122,316 and 2,174,457,317.63

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Solution

The third proportional to 921,122,316 and 2,174,457,317.63 is: 5,133,156,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,122,316 : 2,174,457,317.63 = 2,174,457,317.63 : x
  2. Step 2: Convert to fraction form
    921,122,316/2,174,457,317.63 = 2,174,457,317.63/x
  3. Step 3: Cross multiply
    921,122,316x = 2,174,457,317.63 × 2,174,457,317.63
  4. Step 4: Simplify right side
    921,122,316x = 4,728,264,626,172,910,592
  5. Step 5: Solve for x
    x = 4,728,264,626,172,910,592/921,122,316
  6. Step 6: Final answer
    x = 5,133,156,090.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.