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Finding the Third Proportional to 710,042,875,472 and 1,520,621,686,048

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Solution

The third proportional to 710,042,875,472 and 1,520,621,686,048 is: 3,256,550,261,901.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,042,875,472 : 1,520,621,686,048 = 1,520,621,686,048 : x
  2. Step 2: Convert to fraction form
    710,042,875,472/1,520,621,686,048 = 1,520,621,686,048/x
  3. Step 3: Cross multiply
    710,042,875,472x = 1,520,621,686,048 × 1,520,621,686,048
  4. Step 4: Simplify right side
    710,042,875,472x = 2,312,290,312,079,462,159,613,952
  5. Step 5: Solve for x
    x = 2,312,290,312,079,462,159,613,952/710,042,875,472
  6. Step 6: Final answer
    x = 3,256,550,261,901.26

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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.