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Finding the Third Proportional to 1,841,916,820 and 2,834,016,342

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Solution

The third proportional to 1,841,916,820 and 2,834,016,342 is: 4,360,483,893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841,916,820 : 2,834,016,342 = 2,834,016,342 : x
  2. Step 2: Convert to fraction form
    1,841,916,820/2,834,016,342 = 2,834,016,342/x
  3. Step 3: Cross multiply
    1,841,916,820x = 2,834,016,342 × 2,834,016,342
  4. Step 4: Simplify right side
    1,841,916,820x = 8,031,648,626,723,060,736
  5. Step 5: Solve for x
    x = 8,031,648,626,723,060,736/1,841,916,820
  6. Step 6: Final answer
    x = 4,360,483,893.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.