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Finding the Third Proportional to 465,918,783.75 and 741,726,547.88

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Solution

The third proportional to 465,918,783.75 and 741,726,547.88 is: 1,180,802,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,918,783.75 : 741,726,547.88 = 741,726,547.88 : x
  2. Step 2: Convert to fraction form
    465,918,783.75/741,726,547.88 = 741,726,547.88/x
  3. Step 3: Cross multiply
    465,918,783.75x = 741,726,547.88 × 741,726,547.88
  4. Step 4: Simplify right side
    465,918,783.75x = 550,158,271,822,564,672
  5. Step 5: Solve for x
    x = 550,158,271,822,564,672/465,918,783.75
  6. Step 6: Final answer
    x = 1,180,802,944.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.