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Finding the Third Proportional to 1,233,249,573 and 2,910,343,818

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Solution

The third proportional to 1,233,249,573 and 2,910,343,818 is: 6,868,116,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,249,573 : 2,910,343,818 = 2,910,343,818 : x
  2. Step 2: Convert to fraction form
    1,233,249,573/2,910,343,818 = 2,910,343,818/x
  3. Step 3: Cross multiply
    1,233,249,573x = 2,910,343,818 × 2,910,343,818
  4. Step 4: Simplify right side
    1,233,249,573x = 8,470,101,138,970,817,536
  5. Step 5: Solve for x
    x = 8,470,101,138,970,817,536/1,233,249,573
  6. Step 6: Final answer
    x = 6,868,116,011.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.