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Finding the Third Proportional to 562,652,135,083 and 759,149,837,877

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Solution

The third proportional to 562,652,135,083 and 759,149,837,877 is: 1,024,271,375,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,652,135,083 : 759,149,837,877 = 759,149,837,877 : x
  2. Step 2: Convert to fraction form
    562,652,135,083/759,149,837,877 = 759,149,837,877/x
  3. Step 3: Cross multiply
    562,652,135,083x = 759,149,837,877 × 759,149,837,877
  4. Step 4: Simplify right side
    562,652,135,083x = 576,308,476,348,675,353,739,264
  5. Step 5: Solve for x
    x = 576,308,476,348,675,353,739,264/562,652,135,083
  6. Step 6: Final answer
    x = 1,024,271,375,534.12

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