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Finding the Third Proportional to 719,117,050,772.25 and 1,564,827,670,883.50

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Solution

The third proportional to 719,117,050,772.25 and 1,564,827,670,883.50 is: 3,405,128,048,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,117,050,772.25 : 1,564,827,670,883.50 = 1,564,827,670,883.50 : x
  2. Step 2: Convert to fraction form
    719,117,050,772.25/1,564,827,670,883.50 = 1,564,827,670,883.50/x
  3. Step 3: Cross multiply
    719,117,050,772.25x = 1,564,827,670,883.50 × 1,564,827,670,883.50
  4. Step 4: Simplify right side
    719,117,050,772.25x = 2,448,685,639,562,679,168,270,336
  5. Step 5: Solve for x
    x = 2,448,685,639,562,679,168,270,336/719,117,050,772.25
  6. Step 6: Final answer
    x = 3,405,128,048,254.55

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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.