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Finding the Third Proportional to 1,276,294,957 and 2,776,208,476

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Solution

The third proportional to 1,276,294,957 and 2,776,208,476 is: 6,038,834,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276,294,957 : 2,776,208,476 = 2,776,208,476 : x
  2. Step 2: Convert to fraction form
    1,276,294,957/2,776,208,476 = 2,776,208,476/x
  3. Step 3: Cross multiply
    1,276,294,957x = 2,776,208,476 × 2,776,208,476
  4. Step 4: Simplify right side
    1,276,294,957x = 7,707,333,502,214,242,304
  5. Step 5: Solve for x
    x = 7,707,333,502,214,242,304/1,276,294,957
  6. Step 6: Final answer
    x = 6,038,834,095.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.