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Finding the Third Proportional to 1,260,659,792.81 and 1,884,041,506.69

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Solution

The third proportional to 1,260,659,792.81 and 1,884,041,506.69 is: 2,815,678,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260,659,792.81 : 1,884,041,506.69 = 1,884,041,506.69 : x
  2. Step 2: Convert to fraction form
    1,260,659,792.81/1,884,041,506.69 = 1,884,041,506.69/x
  3. Step 3: Cross multiply
    1,260,659,792.81x = 1,884,041,506.69 × 1,884,041,506.69
  4. Step 4: Simplify right side
    1,260,659,792.81x = 3,549,612,398,921,305,088
  5. Step 5: Solve for x
    x = 3,549,612,398,921,305,088/1,260,659,792.81
  6. Step 6: Final answer
    x = 2,815,678,281.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.