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Finding the Third Proportional to 1,402,307,468 and 2,999,135,320

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Solution

The third proportional to 1,402,307,468 and 2,999,135,320 is: 6,414,294,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,307,468 : 2,999,135,320 = 2,999,135,320 : x
  2. Step 2: Convert to fraction form
    1,402,307,468/2,999,135,320 = 2,999,135,320/x
  3. Step 3: Cross multiply
    1,402,307,468x = 2,999,135,320 × 2,999,135,320
  4. Step 4: Simplify right side
    1,402,307,468x = 8,994,812,667,671,502,848
  5. Step 5: Solve for x
    x = 8,994,812,667,671,502,848/1,402,307,468
  6. Step 6: Final answer
    x = 6,414,294,206.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.