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Finding the Third Proportional to 611,718,502 and 1,320,908,729

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Solution

The third proportional to 611,718,502 and 1,320,908,729 is: 2,852,292,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,718,502 : 1,320,908,729 = 1,320,908,729 : x
  2. Step 2: Convert to fraction form
    611,718,502/1,320,908,729 = 1,320,908,729/x
  3. Step 3: Cross multiply
    611,718,502x = 1,320,908,729 × 1,320,908,729
  4. Step 4: Simplify right side
    611,718,502x = 1,744,799,870,348,395,520
  5. Step 5: Solve for x
    x = 1,744,799,870,348,395,520/611,718,502
  6. Step 6: Final answer
    x = 2,852,292,132.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.