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Finding the Third Proportional to 388,742,671,305 and 605,842,010,581.50

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Solution

The third proportional to 388,742,671,305 and 605,842,010,581.50 is: 944,183,823,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,742,671,305 : 605,842,010,581.50 = 605,842,010,581.50 : x
  2. Step 2: Convert to fraction form
    388,742,671,305/605,842,010,581.50 = 605,842,010,581.50/x
  3. Step 3: Cross multiply
    388,742,671,305x = 605,842,010,581.50 × 605,842,010,581.50
  4. Step 4: Simplify right side
    388,742,671,305x = 367,044,541,785,434,358,808,576
  5. Step 5: Solve for x
    x = 367,044,541,785,434,358,808,576/388,742,671,305
  6. Step 6: Final answer
    x = 944,183,823,590.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.