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Finding the Third Proportional to 255,637,972 and 559,105,784

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Solution

The third proportional to 255,637,972 and 559,105,784 is: 1,222,820,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,637,972 : 559,105,784 = 559,105,784 : x
  2. Step 2: Convert to fraction form
    255,637,972/559,105,784 = 559,105,784/x
  3. Step 3: Cross multiply
    255,637,972x = 559,105,784 × 559,105,784
  4. Step 4: Simplify right side
    255,637,972x = 312,599,277,702,254,656
  5. Step 5: Solve for x
    x = 312,599,277,702,254,656/255,637,972
  6. Step 6: Final answer
    x = 1,222,820,206.47

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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.