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Finding the Third Proportional to 319,607,585,488 and 695,478,979,765

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Solution

The third proportional to 319,607,585,488 and 695,478,979,765 is: 1,513,390,273,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,607,585,488 : 695,478,979,765 = 695,478,979,765 : x
  2. Step 2: Convert to fraction form
    319,607,585,488/695,478,979,765 = 695,478,979,765/x
  3. Step 3: Cross multiply
    319,607,585,488x = 695,478,979,765 × 695,478,979,765
  4. Step 4: Simplify right side
    319,607,585,488x = 483,691,011,294,965,278,965,760
  5. Step 5: Solve for x
    x = 483,691,011,294,965,278,965,760/319,607,585,488
  6. Step 6: Final answer
    x = 1,513,390,273,752.20

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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.