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Finding the Third Proportional to 575,756,811 and 1,253,742,102

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Solution

The third proportional to 575,756,811 and 1,253,742,102 is: 2,730,092,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,756,811 : 1,253,742,102 = 1,253,742,102 : x
  2. Step 2: Convert to fraction form
    575,756,811/1,253,742,102 = 1,253,742,102/x
  3. Step 3: Cross multiply
    575,756,811x = 1,253,742,102 × 1,253,742,102
  4. Step 4: Simplify right side
    575,756,811x = 1,571,869,258,327,378,432
  5. Step 5: Solve for x
    x = 1,571,869,258,327,378,432/575,756,811
  6. Step 6: Final answer
    x = 2,730,092,338.11

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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.