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Finding the Third Proportional to 583,559,902.13 and 1,260,294,406.88

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Solution

The third proportional to 583,559,902.13 and 1,260,294,406.88 is: 2,721,814,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,559,902.13 : 1,260,294,406.88 = 1,260,294,406.88 : x
  2. Step 2: Convert to fraction form
    583,559,902.13/1,260,294,406.88 = 1,260,294,406.88/x
  3. Step 3: Cross multiply
    583,559,902.13x = 1,260,294,406.88 × 1,260,294,406.88
  4. Step 4: Simplify right side
    583,559,902.13x = 1,588,341,992,000,408,064
  5. Step 5: Solve for x
    x = 1,588,341,992,000,408,064/583,559,902.13
  6. Step 6: Final answer
    x = 2,721,814,823.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.