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Finding the Third Proportional to 1,523,483,442 and 2,145,400,395

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Solution

The third proportional to 1,523,483,442 and 2,145,400,395 is: 3,021,196,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,483,442 : 2,145,400,395 = 2,145,400,395 : x
  2. Step 2: Convert to fraction form
    1,523,483,442/2,145,400,395 = 2,145,400,395/x
  3. Step 3: Cross multiply
    1,523,483,442x = 2,145,400,395 × 2,145,400,395
  4. Step 4: Simplify right side
    1,523,483,442x = 4,602,742,854,866,156,032
  5. Step 5: Solve for x
    x = 4,602,742,854,866,156,032/1,523,483,442
  6. Step 6: Final answer
    x = 3,021,196,507.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.