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Finding the Third Proportional to 459,051,732 and 996,041,566.13

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Solution

The third proportional to 459,051,732 and 996,041,566.13 is: 2,161,191,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,051,732 : 996,041,566.13 = 996,041,566.13 : x
  2. Step 2: Convert to fraction form
    459,051,732/996,041,566.13 = 996,041,566.13/x
  3. Step 3: Cross multiply
    459,051,732x = 996,041,566.13 × 996,041,566.13
  4. Step 4: Simplify right side
    459,051,732x = 992,098,801,448,742,784
  5. Step 5: Solve for x
    x = 992,098,801,448,742,784/459,051,732
  6. Step 6: Final answer
    x = 2,161,191,718.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.