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Finding the Third Proportional to 468,347,966,628 and 631,911,375,319.50

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Solution

The third proportional to 468,347,966,628 and 631,911,375,319.50 is: 852,596,818,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,347,966,628 : 631,911,375,319.50 = 631,911,375,319.50 : x
  2. Step 2: Convert to fraction form
    468,347,966,628/631,911,375,319.50 = 631,911,375,319.50/x
  3. Step 3: Cross multiply
    468,347,966,628x = 631,911,375,319.50 × 631,911,375,319.50
  4. Step 4: Simplify right side
    468,347,966,628x = 399,311,986,258,181,986,713,600
  5. Step 5: Solve for x
    x = 399,311,986,258,181,986,713,600/468,347,966,628
  6. Step 6: Final answer
    x = 852,596,818,415.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.