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Finding the Third Proportional to 233,214,386 and 510,361,440

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Solution

The third proportional to 233,214,386 and 510,361,440 is: 1,116,864,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214,386 : 510,361,440 = 510,361,440 : x
  2. Step 2: Convert to fraction form
    233,214,386/510,361,440 = 510,361,440/x
  3. Step 3: Cross multiply
    233,214,386x = 510,361,440 × 510,361,440
  4. Step 4: Simplify right side
    233,214,386x = 260,468,799,438,873,600
  5. Step 5: Solve for x
    x = 260,468,799,438,873,600/233,214,386
  6. Step 6: Final answer
    x = 1,116,864,203.39

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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.