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Finding the Third Proportional to 972,915,368 and 1,507,750,952

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Solution

The third proportional to 972,915,368 and 1,507,750,952 is: 2,336,598,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,915,368 : 1,507,750,952 = 1,507,750,952 : x
  2. Step 2: Convert to fraction form
    972,915,368/1,507,750,952 = 1,507,750,952/x
  3. Step 3: Cross multiply
    972,915,368x = 1,507,750,952 × 1,507,750,952
  4. Step 4: Simplify right side
    972,915,368x = 2,273,312,933,256,906,240
  5. Step 5: Solve for x
    x = 2,273,312,933,256,906,240/972,915,368
  6. Step 6: Final answer
    x = 2,336,598,853.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.