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Finding the Third Proportional to 575,756,796 and 1,253,742,072

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Solution

The third proportional to 575,756,796 and 1,253,742,072 is: 2,730,092,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,756,796 : 1,253,742,072 = 1,253,742,072 : x
  2. Step 2: Convert to fraction form
    575,756,796/1,253,742,072 = 1,253,742,072/x
  3. Step 3: Cross multiply
    575,756,796x = 1,253,742,072 × 1,253,742,072
  4. Step 4: Simplify right side
    575,756,796x = 1,571,869,183,102,853,120
  5. Step 5: Solve for x
    x = 1,571,869,183,102,853,120/575,756,796
  6. Step 6: Final answer
    x = 2,730,092,278.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.