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Finding the Third Proportional to 1,299,386,448 and 2,805,872,562

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Solution

The third proportional to 1,299,386,448 and 2,805,872,562 is: 6,058,952,551.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,386,448 : 2,805,872,562 = 2,805,872,562 : x
  2. Step 2: Convert to fraction form
    1,299,386,448/2,805,872,562 = 2,805,872,562/x
  3. Step 3: Cross multiply
    1,299,386,448x = 2,805,872,562 × 2,805,872,562
  4. Step 4: Simplify right side
    1,299,386,448x = 7,872,920,834,184,443,904
  5. Step 5: Solve for x
    x = 7,872,920,834,184,443,904/1,299,386,448
  6. Step 6: Final answer
    x = 6,058,952,551.26

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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.