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Finding the Third Proportional to 319,607,585,485.50 and 695,478,979,761

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Solution

The third proportional to 319,607,585,485.50 and 695,478,979,761 is: 1,513,390,273,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,607,585,485.50 : 695,478,979,761 = 695,478,979,761 : x
  2. Step 2: Convert to fraction form
    319,607,585,485.50/695,478,979,761 = 695,478,979,761/x
  3. Step 3: Cross multiply
    319,607,585,485.50x = 695,478,979,761 × 695,478,979,761
  4. Step 4: Simplify right side
    319,607,585,485.50x = 483,691,011,289,401,417,269,248
  5. Step 5: Solve for x
    x = 483,691,011,289,401,417,269,248/319,607,585,485.50
  6. Step 6: Final answer
    x = 1,513,390,273,746.63

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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.