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Finding the Third Proportional to 301,724,150 and 651,527,306

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Solution

The third proportional to 301,724,150 and 651,527,306 is: 1,406,873,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,724,150 : 651,527,306 = 651,527,306 : x
  2. Step 2: Convert to fraction form
    301,724,150/651,527,306 = 651,527,306/x
  3. Step 3: Cross multiply
    301,724,150x = 651,527,306 × 651,527,306
  4. Step 4: Simplify right side
    301,724,150x = 424,487,830,463,617,664
  5. Step 5: Solve for x
    x = 424,487,830,463,617,664/301,724,150
  6. Step 6: Final answer
    x = 1,406,873,896.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.