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Finding the Third Proportional to 719,116,862,770.98 and 1,564,827,293,852.10

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Solution

The third proportional to 719,116,862,770.98 and 1,564,827,293,852.10 is: 3,405,127,297,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,116,862,770.98 : 1,564,827,293,852.10 = 1,564,827,293,852.10 : x
  2. Step 2: Convert to fraction form
    719,116,862,770.98/1,564,827,293,852.10 = 1,564,827,293,852.10/x
  3. Step 3: Cross multiply
    719,116,862,770.98x = 1,564,827,293,852.10 × 1,564,827,293,852.10
  4. Step 4: Simplify right side
    719,116,862,770.98x = 2,448,684,459,584,486,914,392,064
  5. Step 5: Solve for x
    x = 2,448,684,459,584,486,914,392,064/719,116,862,770.98
  6. Step 6: Final answer
    x = 3,405,127,297,597.98

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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.