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Finding the Third Proportional to 1,565,480,091 and 3,355,053,810

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Solution

The third proportional to 1,565,480,091 and 3,355,053,810 is: 7,190,373,185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,480,091 : 3,355,053,810 = 3,355,053,810 : x
  2. Step 2: Convert to fraction form
    1,565,480,091/3,355,053,810 = 3,355,053,810/x
  3. Step 3: Cross multiply
    1,565,480,091x = 3,355,053,810 × 3,355,053,810
  4. Step 4: Simplify right side
    1,565,480,091x = 11,256,386,067,995,516,928
  5. Step 5: Solve for x
    x = 11,256,386,067,995,516,928/1,565,480,091
  6. Step 6: Final answer
    x = 7,190,373,185.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.