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Finding the Third Proportional to 922,168,707 and 1,991,576,297

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Solution

The third proportional to 922,168,707 and 1,991,576,297 is: 4,301,139,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,168,707 : 1,991,576,297 = 1,991,576,297 : x
  2. Step 2: Convert to fraction form
    922,168,707/1,991,576,297 = 1,991,576,297/x
  3. Step 3: Cross multiply
    922,168,707x = 1,991,576,297 × 1,991,576,297
  4. Step 4: Simplify right side
    922,168,707x = 3,966,376,146,772,232,192
  5. Step 5: Solve for x
    x = 3,966,376,146,772,232,192/922,168,707
  6. Step 6: Final answer
    x = 4,301,139,386.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.