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Finding the Third Proportional to 1,184,672,365,499.90 and 2,547,633,848,289.20

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Solution

The third proportional to 1,184,672,365,499.90 and 2,547,633,848,289.20 is: 5,478,677,830,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,672,365,499.90 : 2,547,633,848,289.20 = 2,547,633,848,289.20 : x
  2. Step 2: Convert to fraction form
    1,184,672,365,499.90/2,547,633,848,289.20 = 2,547,633,848,289.20/x
  3. Step 3: Cross multiply
    1,184,672,365,499.90x = 2,547,633,848,289.20 × 2,547,633,848,289.20
  4. Step 4: Simplify right side
    1,184,672,365,499.90x = 6,490,438,224,948,840,030,535,680
  5. Step 5: Solve for x
    x = 6,490,438,224,948,840,030,535,680/1,184,672,365,499.90
  6. Step 6: Final answer
    x = 5,478,677,830,228.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.