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Finding the Third Proportional to 575,756,808 and 1,253,742,096

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Solution

The third proportional to 575,756,808 and 1,253,742,096 is: 2,730,092,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,756,808 : 1,253,742,096 = 1,253,742,096 : x
  2. Step 2: Convert to fraction form
    575,756,808/1,253,742,096 = 1,253,742,096/x
  3. Step 3: Cross multiply
    575,756,808x = 1,253,742,096 × 1,253,742,096
  4. Step 4: Simplify right side
    575,756,808x = 1,571,869,243,282,473,216
  5. Step 5: Solve for x
    x = 1,571,869,243,282,473,216/575,756,808
  6. Step 6: Final answer
    x = 2,730,092,326.21

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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.