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Finding the Third Proportional to 971,646,797 and 2,098,117,154

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Solution

The third proportional to 971,646,797 and 2,098,117,154 is: 4,530,551,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,646,797 : 2,098,117,154 = 2,098,117,154 : x
  2. Step 2: Convert to fraction form
    971,646,797/2,098,117,154 = 2,098,117,154/x
  3. Step 3: Cross multiply
    971,646,797x = 2,098,117,154 × 2,098,117,154
  4. Step 4: Simplify right side
    971,646,797x = 4,402,095,591,909,059,584
  5. Step 5: Solve for x
    x = 4,402,095,591,909,059,584/971,646,797
  6. Step 6: Final answer
    x = 4,530,551,230.65

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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.