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Finding the Third Proportional to 1,130,346,106 and 1,526,717,736

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Solution

The third proportional to 1,130,346,106 and 1,526,717,736 is: 2,062,082,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130,346,106 : 1,526,717,736 = 1,526,717,736 : x
  2. Step 2: Convert to fraction form
    1,130,346,106/1,526,717,736 = 1,526,717,736/x
  3. Step 3: Cross multiply
    1,130,346,106x = 1,526,717,736 × 1,526,717,736
  4. Step 4: Simplify right side
    1,130,346,106x = 2,330,867,045,416,965,632
  5. Step 5: Solve for x
    x = 2,330,867,045,416,965,632/1,130,346,106
  6. Step 6: Final answer
    x = 2,062,082,607.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.