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Finding the Third Proportional to 970,831,220 and 2,139,548,760

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Solution

The third proportional to 970,831,220 and 2,139,548,760 is: 4,715,205,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,831,220 : 2,139,548,760 = 2,139,548,760 : x
  2. Step 2: Convert to fraction form
    970,831,220/2,139,548,760 = 2,139,548,760/x
  3. Step 3: Cross multiply
    970,831,220x = 2,139,548,760 × 2,139,548,760
  4. Step 4: Simplify right side
    970,831,220x = 4,577,668,896,417,537,536
  5. Step 5: Solve for x
    x = 4,577,668,896,417,537,536/970,831,220
  6. Step 6: Final answer
    x = 4,715,205,693.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.