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Finding the Third Proportional to 1,687,655,907 and 3,634,520,940

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Solution

The third proportional to 1,687,655,907 and 3,634,520,940 is: 7,827,272,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,655,907 : 3,634,520,940 = 3,634,520,940 : x
  2. Step 2: Convert to fraction form
    1,687,655,907/3,634,520,940 = 3,634,520,940/x
  3. Step 3: Cross multiply
    1,687,655,907x = 3,634,520,940 × 3,634,520,940
  4. Step 4: Simplify right side
    1,687,655,907x = 13,209,742,463,298,484,224
  5. Step 5: Solve for x
    x = 13,209,742,463,298,484,224/1,687,655,907
  6. Step 6: Final answer
    x = 7,827,272,377.33

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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.