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Finding the Third Proportional to 1,344,886,430 and 2,109,538,810

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Solution

The third proportional to 1,344,886,430 and 2,109,538,810 is: 3,308,944,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344,886,430 : 2,109,538,810 = 2,109,538,810 : x
  2. Step 2: Convert to fraction form
    1,344,886,430/2,109,538,810 = 2,109,538,810/x
  3. Step 3: Cross multiply
    1,344,886,430x = 2,109,538,810 × 2,109,538,810
  4. Step 4: Simplify right side
    1,344,886,430x = 4,450,153,990,896,216,064
  5. Step 5: Solve for x
    x = 4,450,153,990,896,216,064/1,344,886,430
  6. Step 6: Final answer
    x = 3,308,944,080.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.