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Finding the Third Proportional to 1,477,031,360 and 2,338,841,360

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Solution

The third proportional to 1,477,031,360 and 2,338,841,360 is: 3,703,495,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,031,360 : 2,338,841,360 = 2,338,841,360 : x
  2. Step 2: Convert to fraction form
    1,477,031,360/2,338,841,360 = 2,338,841,360/x
  3. Step 3: Cross multiply
    1,477,031,360x = 2,338,841,360 × 2,338,841,360
  4. Step 4: Simplify right side
    1,477,031,360x = 5,470,178,907,246,649,344
  5. Step 5: Solve for x
    x = 5,470,178,907,246,649,344/1,477,031,360
  6. Step 6: Final answer
    x = 3,703,495,440.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.