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Finding the Third Proportional to 3,075,759,411.75 and 6,710,371,954.88

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Solution

The third proportional to 3,075,759,411.75 and 6,710,371,954.88 is: 14,639,991,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075,759,411.75 : 6,710,371,954.88 = 6,710,371,954.88 : x
  2. Step 2: Convert to fraction form
    3,075,759,411.75/6,710,371,954.88 = 6,710,371,954.88/x
  3. Step 3: Cross multiply
    3,075,759,411.75x = 6,710,371,954.88 × 6,710,371,954.88
  4. Step 4: Simplify right side
    3,075,759,411.75x = 45,029,091,772,772,925,440
  5. Step 5: Solve for x
    x = 45,029,091,772,772,925,440/3,075,759,411.75
  6. Step 6: Final answer
    x = 14,639,991,541.85

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Why These Related Problems?

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