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Finding the Third Proportional to 1,209,754,917.14 and 1,868,357,741.20

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Solution

The third proportional to 1,209,754,917.14 and 1,868,357,741.20 is: 2,885,510,610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,754,917.14 : 1,868,357,741.20 = 1,868,357,741.20 : x
  2. Step 2: Convert to fraction form
    1,209,754,917.14/1,868,357,741.20 = 1,868,357,741.20/x
  3. Step 3: Cross multiply
    1,209,754,917.14x = 1,868,357,741.20 × 1,868,357,741.20
  4. Step 4: Simplify right side
    1,209,754,917.14x = 3,490,760,649,113,924,096
  5. Step 5: Solve for x
    x = 3,490,760,649,113,924,096/1,209,754,917.14
  6. Step 6: Final answer
    x = 2,885,510,610.17

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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.