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Finding the Third Proportional to 319,607,578,119 and 695,478,964,833

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Solution

The third proportional to 319,607,578,119 and 695,478,964,833 is: 1,513,390,243,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,607,578,119 : 695,478,964,833 = 695,478,964,833 : x
  2. Step 2: Convert to fraction form
    319,607,578,119/695,478,964,833 = 695,478,964,833/x
  3. Step 3: Cross multiply
    319,607,578,119x = 695,478,964,833 × 695,478,964,833
  4. Step 4: Simplify right side
    319,607,578,119x = 483,690,990,525,181,235,036,160
  5. Step 5: Solve for x
    x = 483,690,990,525,181,235,036,160/319,607,578,119
  6. Step 6: Final answer
    x = 1,513,390,243,660.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.