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Finding the Third Proportional to 729,172,411 and 1,596,652,321

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Solution

The third proportional to 729,172,411 and 1,596,652,321 is: 3,496,153,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,172,411 : 1,596,652,321 = 1,596,652,321 : x
  2. Step 2: Convert to fraction form
    729,172,411/1,596,652,321 = 1,596,652,321/x
  3. Step 3: Cross multiply
    729,172,411x = 1,596,652,321 × 1,596,652,321
  4. Step 4: Simplify right side
    729,172,411x = 2,549,298,634,154,686,976
  5. Step 5: Solve for x
    x = 2,549,298,634,154,686,976/729,172,411
  6. Step 6: Final answer
    x = 3,496,153,441.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.