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Finding the Third Proportional to 175,703,459,585 and 247,429,189,009

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Solution

The third proportional to 175,703,459,585 and 247,429,189,009 is: 348,434,821,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,703,459,585 : 247,429,189,009 = 247,429,189,009 : x
  2. Step 2: Convert to fraction form
    175,703,459,585/247,429,189,009 = 247,429,189,009/x
  3. Step 3: Cross multiply
    175,703,459,585x = 247,429,189,009 × 247,429,189,009
  4. Step 4: Simplify right side
    175,703,459,585x = 61,221,203,573,651,445,645,312
  5. Step 5: Solve for x
    x = 61,221,203,573,651,445,645,312/175,703,459,585
  6. Step 6: Final answer
    x = 348,434,821,478.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.