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Finding the Third Proportional to 448,029,643 and 702,825,674

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Solution

The third proportional to 448,029,643 and 702,825,674 is: 1,102,525,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,029,643 : 702,825,674 = 702,825,674 : x
  2. Step 2: Convert to fraction form
    448,029,643/702,825,674 = 702,825,674/x
  3. Step 3: Cross multiply
    448,029,643x = 702,825,674 × 702,825,674
  4. Step 4: Simplify right side
    448,029,643x = 493,963,928,033,554,304
  5. Step 5: Solve for x
    x = 493,963,928,033,554,304/448,029,643
  6. Step 6: Final answer
    x = 1,102,525,102.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.