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Finding the Third Proportional to 242,987,009.63 and 524,759,527.69

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Solution

The third proportional to 242,987,009.63 and 524,759,527.69 is: 1,133,281,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,987,009.63 : 524,759,527.69 = 524,759,527.69 : x
  2. Step 2: Convert to fraction form
    242,987,009.63/524,759,527.69 = 524,759,527.69/x
  3. Step 3: Cross multiply
    242,987,009.63x = 524,759,527.69 × 524,759,527.69
  4. Step 4: Simplify right side
    242,987,009.63x = 275,372,561,898,808,064
  5. Step 5: Solve for x
    x = 275,372,561,898,808,064/242,987,009.63
  6. Step 6: Final answer
    x = 1,133,281,002.65

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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.