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Finding the Third Proportional to 331,087,064 and 702,516,014

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Solution

The third proportional to 331,087,064 and 702,516,014 is: 1,490,631,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,087,064 : 702,516,014 = 702,516,014 : x
  2. Step 2: Convert to fraction form
    331,087,064/702,516,014 = 702,516,014/x
  3. Step 3: Cross multiply
    331,087,064x = 702,516,014 × 702,516,014
  4. Step 4: Simplify right side
    331,087,064x = 493,528,749,926,448,192
  5. Step 5: Solve for x
    x = 493,528,749,926,448,192/331,087,064
  6. Step 6: Final answer
    x = 1,490,631,328.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.