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Finding the Third Proportional to 1,602,239,869,041.10 and 2,161,797,780,509.40

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Solution

The third proportional to 1,602,239,869,041.10 and 2,161,797,780,509.40 is: 2,916,772,784,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,239,869,041.10 : 2,161,797,780,509.40 = 2,161,797,780,509.40 : x
  2. Step 2: Convert to fraction form
    1,602,239,869,041.10/2,161,797,780,509.40 = 2,161,797,780,509.40/x
  3. Step 3: Cross multiply
    1,602,239,869,041.10x = 2,161,797,780,509.40 × 2,161,797,780,509.40
  4. Step 4: Simplify right side
    1,602,239,869,041.10x = 4,673,369,643,815,367,658,700,800
  5. Step 5: Solve for x
    x = 4,673,369,643,815,367,658,700,800/1,602,239,869,041.10
  6. Step 6: Final answer
    x = 2,916,772,784,222.54

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.