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Finding the Third Proportional to 575,756,868 and 1,253,742,216

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Solution

The third proportional to 575,756,868 and 1,253,742,216 is: 2,730,092,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,756,868 : 1,253,742,216 = 1,253,742,216 : x
  2. Step 2: Convert to fraction form
    575,756,868/1,253,742,216 = 1,253,742,216/x
  3. Step 3: Cross multiply
    575,756,868x = 1,253,742,216 × 1,253,742,216
  4. Step 4: Simplify right side
    575,756,868x = 1,571,869,544,180,590,592
  5. Step 5: Solve for x
    x = 1,571,869,544,180,590,592/575,756,868
  6. Step 6: Final answer
    x = 2,730,092,564.32

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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.