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Finding the Third Proportional to 641,084,477.63 and 957,852,871.88

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Solution

The third proportional to 641,084,477.63 and 957,852,871.88 is: 1,431,140,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,084,477.63 : 957,852,871.88 = 957,852,871.88 : x
  2. Step 2: Convert to fraction form
    641,084,477.63/957,852,871.88 = 957,852,871.88/x
  3. Step 3: Cross multiply
    641,084,477.63x = 957,852,871.88 × 957,852,871.88
  4. Step 4: Simplify right side
    641,084,477.63x = 917,482,124,159,185,152
  5. Step 5: Solve for x
    x = 917,482,124,159,185,152/641,084,477.63
  6. Step 6: Final answer
    x = 1,431,140,756.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.