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Finding the Third Proportional to 301,724,162 and 651,527,332

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Solution

The third proportional to 301,724,162 and 651,527,332 is: 1,406,873,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,724,162 : 651,527,332 = 651,527,332 : x
  2. Step 2: Convert to fraction form
    301,724,162/651,527,332 = 651,527,332/x
  3. Step 3: Cross multiply
    301,724,162x = 651,527,332 × 651,527,332
  4. Step 4: Simplify right side
    301,724,162x = 424,487,864,343,038,208
  5. Step 5: Solve for x
    x = 424,487,864,343,038,208/301,724,162
  6. Step 6: Final answer
    x = 1,406,873,952.45

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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.