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Finding the Third Proportional to 3,075,759,419.63 and 6,710,371,970.63

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Solution

The third proportional to 3,075,759,419.63 and 6,710,371,970.63 is: 14,639,991,573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075,759,419.63 : 6,710,371,970.63 = 6,710,371,970.63 : x
  2. Step 2: Convert to fraction form
    3,075,759,419.63/6,710,371,970.63 = 6,710,371,970.63/x
  3. Step 3: Cross multiply
    3,075,759,419.63x = 6,710,371,970.63 × 6,710,371,970.63
  4. Step 4: Simplify right side
    3,075,759,419.63x = 45,029,091,984,149,643,264
  5. Step 5: Solve for x
    x = 45,029,091,984,149,643,264/3,075,759,419.63
  6. Step 6: Final answer
    x = 14,639,991,573.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.