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Finding the Third Proportional to 1,249,123,097 and 2,777,532,290

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Solution

The third proportional to 1,249,123,097 and 2,777,532,290 is: 6,176,081,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,123,097 : 2,777,532,290 = 2,777,532,290 : x
  2. Step 2: Convert to fraction form
    1,249,123,097/2,777,532,290 = 2,777,532,290/x
  3. Step 3: Cross multiply
    1,249,123,097x = 2,777,532,290 × 2,777,532,290
  4. Step 4: Simplify right side
    1,249,123,097x = 7,714,685,621,992,644,608
  5. Step 5: Solve for x
    x = 7,714,685,621,992,644,608/1,249,123,097
  6. Step 6: Final answer
    x = 6,176,081,156.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.