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Finding the Third Proportional to 3,075,759,414 and 6,710,371,959

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Solution

The third proportional to 3,075,759,414 and 6,710,371,959 is: 14,639,991,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075,759,414 : 6,710,371,959 = 6,710,371,959 : x
  2. Step 2: Convert to fraction form
    3,075,759,414/6,710,371,959 = 6,710,371,959/x
  3. Step 3: Cross multiply
    3,075,759,414x = 6,710,371,959 × 6,710,371,959
  4. Step 4: Simplify right side
    3,075,759,414x = 45,029,091,828,133,494,784
  5. Step 5: Solve for x
    x = 45,029,091,828,133,494,784/3,075,759,414
  6. Step 6: Final answer
    x = 14,639,991,549.14

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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.