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Finding the Third Proportional to 815,312,779.88 and 1,246,681,443.94

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Solution

The third proportional to 815,312,779.88 and 1,246,681,443.94 is: 1,906,280,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,312,779.88 : 1,246,681,443.94 = 1,246,681,443.94 : x
  2. Step 2: Convert to fraction form
    815,312,779.88/1,246,681,443.94 = 1,246,681,443.94/x
  3. Step 3: Cross multiply
    815,312,779.88x = 1,246,681,443.94 × 1,246,681,443.94
  4. Step 4: Simplify right side
    815,312,779.88x = 1,554,214,622,658,089,984
  5. Step 5: Solve for x
    x = 1,554,214,622,658,089,984/815,312,779.88
  6. Step 6: Final answer
    x = 1,906,280,216.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.