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Finding the Third Proportional to 323,109,464 and 695,487,664

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Solution

The third proportional to 323,109,464 and 695,487,664 is: 1,497,025,450.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,109,464 : 695,487,664 = 695,487,664 : x
  2. Step 2: Convert to fraction form
    323,109,464/695,487,664 = 695,487,664/x
  3. Step 3: Cross multiply
    323,109,464x = 695,487,664 × 695,487,664
  4. Step 4: Simplify right side
    323,109,464x = 483,703,090,776,176,896
  5. Step 5: Solve for x
    x = 483,703,090,776,176,896/323,109,464
  6. Step 6: Final answer
    x = 1,497,025,450.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.