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Finding the Third Proportional to 653,109,972 and 1,410,117,024

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Solution

The third proportional to 653,109,972 and 1,410,117,024 is: 3,044,556,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,109,972 : 1,410,117,024 = 1,410,117,024 : x
  2. Step 2: Convert to fraction form
    653,109,972/1,410,117,024 = 1,410,117,024/x
  3. Step 3: Cross multiply
    653,109,972x = 1,410,117,024 × 1,410,117,024
  4. Step 4: Simplify right side
    653,109,972x = 1,988,430,021,374,616,576
  5. Step 5: Solve for x
    x = 1,988,430,021,374,616,576/653,109,972
  6. Step 6: Final answer
    x = 3,044,556,210.47

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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.