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Finding the Third Proportional to 851,875,869 and 1,308,585,637.50

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Solution

The third proportional to 851,875,869 and 1,308,585,637.50 is: 2,010,147,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,875,869 : 1,308,585,637.50 = 1,308,585,637.50 : x
  2. Step 2: Convert to fraction form
    851,875,869/1,308,585,637.50 = 1,308,585,637.50/x
  3. Step 3: Cross multiply
    851,875,869x = 1,308,585,637.50 × 1,308,585,637.50
  4. Step 4: Simplify right side
    851,875,869x = 1,712,396,370,671,281,408
  5. Step 5: Solve for x
    x = 1,712,396,370,671,281,408/851,875,869
  6. Step 6: Final answer
    x = 2,010,147,760.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.