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Finding the Third Proportional to 368,617,146 and 791,938,074

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Solution

The third proportional to 368,617,146 and 791,938,074 is: 1,701,401,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,617,146 : 791,938,074 = 791,938,074 : x
  2. Step 2: Convert to fraction form
    368,617,146/791,938,074 = 791,938,074/x
  3. Step 3: Cross multiply
    368,617,146x = 791,938,074 × 791,938,074
  4. Step 4: Simplify right side
    368,617,146x = 627,165,913,050,829,440
  5. Step 5: Solve for x
    x = 627,165,913,050,829,440/368,617,146
  6. Step 6: Final answer
    x = 1,701,401,901.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.