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Finding the Third Proportional to 576,828,719,142 and 847,963,805,955

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Solution

The third proportional to 576,828,719,142 and 847,963,805,955 is: 1,246,544,411,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,828,719,142 : 847,963,805,955 = 847,963,805,955 : x
  2. Step 2: Convert to fraction form
    576,828,719,142/847,963,805,955 = 847,963,805,955/x
  3. Step 3: Cross multiply
    576,828,719,142x = 847,963,805,955 × 847,963,805,955
  4. Step 4: Simplify right side
    576,828,719,142x = 719,042,616,209,688,903,024,640
  5. Step 5: Solve for x
    x = 719,042,616,209,688,903,024,640/576,828,719,142
  6. Step 6: Final answer
    x = 1,246,544,411,448.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.