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Finding the Third Proportional to 710,042,875,474 and 1,520,621,686,052

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Solution

The third proportional to 710,042,875,474 and 1,520,621,686,052 is: 3,256,550,261,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,042,875,474 : 1,520,621,686,052 = 1,520,621,686,052 : x
  2. Step 2: Convert to fraction form
    710,042,875,474/1,520,621,686,052 = 1,520,621,686,052/x
  3. Step 3: Cross multiply
    710,042,875,474x = 1,520,621,686,052 × 1,520,621,686,052
  4. Step 4: Simplify right side
    710,042,875,474x = 2,312,290,312,091,627,117,608,960
  5. Step 5: Solve for x
    x = 2,312,290,312,091,627,117,608,960/710,042,875,474
  6. Step 6: Final answer
    x = 3,256,550,261,909.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.