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Finding the Third Proportional to 907,316,200.13 and 1,401,268,323.38

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Solution

The third proportional to 907,316,200.13 and 1,401,268,323.38 is: 2,164,132,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,316,200.13 : 1,401,268,323.38 = 1,401,268,323.38 : x
  2. Step 2: Convert to fraction form
    907,316,200.13/1,401,268,323.38 = 1,401,268,323.38/x
  3. Step 3: Cross multiply
    907,316,200.13x = 1,401,268,323.38 × 1,401,268,323.38
  4. Step 4: Simplify right side
    907,316,200.13x = 1,963,552,914,094,183,680
  5. Step 5: Solve for x
    x = 1,963,552,914,094,183,680/907,316,200.13
  6. Step 6: Final answer
    x = 2,164,132,982.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.