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Finding the Third Proportional to 1,687,655,928 and 3,634,520,988

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Solution

The third proportional to 1,687,655,928 and 3,634,520,988 is: 7,827,272,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,655,928 : 3,634,520,988 = 3,634,520,988 : x
  2. Step 2: Convert to fraction form
    1,687,655,928/3,634,520,988 = 3,634,520,988/x
  3. Step 3: Cross multiply
    1,687,655,928x = 3,634,520,988 × 3,634,520,988
  4. Step 4: Simplify right side
    1,687,655,928x = 13,209,742,812,212,496,384
  5. Step 5: Solve for x
    x = 13,209,742,812,212,496,384/1,687,655,928
  6. Step 6: Final answer
    x = 7,827,272,486.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.