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Finding the Third Proportional to 242,478,568.13 and 530,862,403.50

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Solution

The third proportional to 242,478,568.13 and 530,862,403.50 is: 1,162,225,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,478,568.13 : 530,862,403.50 = 530,862,403.50 : x
  2. Step 2: Convert to fraction form
    242,478,568.13/530,862,403.50 = 530,862,403.50/x
  3. Step 3: Cross multiply
    242,478,568.13x = 530,862,403.50 × 530,862,403.50
  4. Step 4: Simplify right side
    242,478,568.13x = 281,814,891,449,796,800
  5. Step 5: Solve for x
    x = 281,814,891,449,796,800/242,478,568.13
  6. Step 6: Final answer
    x = 1,162,225,979.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.