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Finding the Third Proportional to 1,308,209,470 and 2,010,808,196

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Solution

The third proportional to 1,308,209,470 and 2,010,808,196 is: 3,090,750,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,209,470 : 2,010,808,196 = 2,010,808,196 : x
  2. Step 2: Convert to fraction form
    1,308,209,470/2,010,808,196 = 2,010,808,196/x
  3. Step 3: Cross multiply
    1,308,209,470x = 2,010,808,196 × 2,010,808,196
  4. Step 4: Simplify right side
    1,308,209,470x = 4,043,349,601,100,774,400
  5. Step 5: Solve for x
    x = 4,043,349,601,100,774,400/1,308,209,470
  6. Step 6: Final answer
    x = 3,090,750,903.29

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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.