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Finding the Third Proportional to 316,620,152 and 484,346,748

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Solution

The third proportional to 316,620,152 and 484,346,748 is: 740,924,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,620,152 : 484,346,748 = 484,346,748 : x
  2. Step 2: Convert to fraction form
    316,620,152/484,346,748 = 484,346,748/x
  3. Step 3: Cross multiply
    316,620,152x = 484,346,748 × 484,346,748
  4. Step 4: Simplify right side
    316,620,152x = 234,591,772,298,175,488
  5. Step 5: Solve for x
    x = 234,591,772,298,175,488/316,620,152
  6. Step 6: Final answer
    x = 740,924,956.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.