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Finding the Third Proportional to 1,419,502,592 and 3,088,962,004

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Solution

The third proportional to 1,419,502,592 and 3,088,962,004 is: 6,721,851,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,502,592 : 3,088,962,004 = 3,088,962,004 : x
  2. Step 2: Convert to fraction form
    1,419,502,592/3,088,962,004 = 3,088,962,004/x
  3. Step 3: Cross multiply
    1,419,502,592x = 3,088,962,004 × 3,088,962,004
  4. Step 4: Simplify right side
    1,419,502,592x = 9,541,686,262,155,696,128
  5. Step 5: Solve for x
    x = 9,541,686,262,155,696,128/1,419,502,592
  6. Step 6: Final answer
    x = 6,721,851,947.25

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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.