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Finding the Third Proportional to 1,635,304,507,020 and 3,578,364,371,331

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Solution

The third proportional to 1,635,304,507,020 and 3,578,364,371,331 is: 7,830,157,330,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635,304,507,020 : 3,578,364,371,331 = 3,578,364,371,331 : x
  2. Step 2: Convert to fraction form
    1,635,304,507,020/3,578,364,371,331 = 3,578,364,371,331/x
  3. Step 3: Cross multiply
    1,635,304,507,020x = 3,578,364,371,331 × 3,578,364,371,331
  4. Step 4: Simplify right side
    1,635,304,507,020x = 12,804,691,574,011,102,448,582,656
  5. Step 5: Solve for x
    x = 12,804,691,574,011,102,448,582,656/1,635,304,507,020
  6. Step 6: Final answer
    x = 7,830,157,330,970.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.