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Finding the Third Proportional to 9,079,906,746.75 and 12,780,937,746

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Solution

The third proportional to 9,079,906,746.75 and 12,780,937,746 is: 17,990,533,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,079,906,746.75 : 12,780,937,746 = 12,780,937,746 : x
  2. Step 2: Convert to fraction form
    9,079,906,746.75/12,780,937,746 = 12,780,937,746/x
  3. Step 3: Cross multiply
    9,079,906,746.75x = 12,780,937,746 × 12,780,937,746
  4. Step 4: Simplify right side
    9,079,906,746.75x = 163,352,369,667,127,574,528
  5. Step 5: Solve for x
    x = 163,352,369,667,127,574,528/9,079,906,746.75
  6. Step 6: Final answer
    x = 17,990,533,848.33

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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.