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Finding the Third Proportional to 1,078,157,496 and 1,656,181,813.50

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Solution

The third proportional to 1,078,157,496 and 1,656,181,813.50 is: 2,544,097,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,157,496 : 1,656,181,813.50 = 1,656,181,813.50 : x
  2. Step 2: Convert to fraction form
    1,078,157,496/1,656,181,813.50 = 1,656,181,813.50/x
  3. Step 3: Cross multiply
    1,078,157,496x = 1,656,181,813.50 × 1,656,181,813.50
  4. Step 4: Simplify right side
    1,078,157,496x = 2,742,938,199,368,148,992
  5. Step 5: Solve for x
    x = 2,742,938,199,368,148,992/1,078,157,496
  6. Step 6: Final answer
    x = 2,544,097,879.53

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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.