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Finding the Third Proportional to 719,117,050,946.62 and 1,564,827,671,184.80

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Solution

The third proportional to 719,117,050,946.62 and 1,564,827,671,184.80 is: 3,405,128,048,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,117,050,946.62 : 1,564,827,671,184.80 = 1,564,827,671,184.80 : x
  2. Step 2: Convert to fraction form
    719,117,050,946.62/1,564,827,671,184.80 = 1,564,827,671,184.80/x
  3. Step 3: Cross multiply
    719,117,050,946.62x = 1,564,827,671,184.80 × 1,564,827,671,184.80
  4. Step 4: Simplify right side
    719,117,050,946.62x = 2,448,685,640,505,644,606,816,256
  5. Step 5: Solve for x
    x = 2,448,685,640,505,644,606,816,256/719,117,050,946.62
  6. Step 6: Final answer
    x = 3,405,128,048,740.16

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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.