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Finding the Third Proportional to 347,781,979.69 and 750,043,427.06

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Solution

The third proportional to 347,781,979.69 and 750,043,427.06 is: 1,617,579,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,781,979.69 : 750,043,427.06 = 750,043,427.06 : x
  2. Step 2: Convert to fraction form
    347,781,979.69/750,043,427.06 = 750,043,427.06/x
  3. Step 3: Cross multiply
    347,781,979.69x = 750,043,427.06 × 750,043,427.06
  4. Step 4: Simplify right side
    347,781,979.69x = 562,565,142,479,659,776
  5. Step 5: Solve for x
    x = 562,565,142,479,659,776/347,781,979.69
  6. Step 6: Final answer
    x = 1,617,579,907.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.