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Finding the Third Proportional to 1,574,202,897 and 3,444,951,114

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Solution

The third proportional to 1,574,202,897 and 3,444,951,114 is: 7,538,855,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,202,897 : 3,444,951,114 = 3,444,951,114 : x
  2. Step 2: Convert to fraction form
    1,574,202,897/3,444,951,114 = 3,444,951,114/x
  3. Step 3: Cross multiply
    1,574,202,897x = 3,444,951,114 × 3,444,951,114
  4. Step 4: Simplify right side
    1,574,202,897x = 11,867,688,177,849,841,664
  5. Step 5: Solve for x
    x = 11,867,688,177,849,841,664/1,574,202,897
  6. Step 6: Final answer
    x = 7,538,855,506.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.