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Finding the Third Proportional to 3,075,759,416 and 6,710,371,963

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Solution

The third proportional to 3,075,759,416 and 6,710,371,963 is: 14,639,991,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075,759,416 : 6,710,371,963 = 6,710,371,963 : x
  2. Step 2: Convert to fraction form
    3,075,759,416/6,710,371,963 = 6,710,371,963/x
  3. Step 3: Cross multiply
    3,075,759,416x = 6,710,371,963 × 6,710,371,963
  4. Step 4: Simplify right side
    3,075,759,416x = 45,029,091,881,816,473,600
  5. Step 5: Solve for x
    x = 45,029,091,881,816,473,600/3,075,759,416
  6. Step 6: Final answer
    x = 14,639,991,557.07

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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.