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Finding the Third Proportional to 358,151,976 and 779,360,319

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Solution

The third proportional to 358,151,976 and 779,360,319 is: 1,695,935,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,151,976 : 779,360,319 = 779,360,319 : x
  2. Step 2: Convert to fraction form
    358,151,976/779,360,319 = 779,360,319/x
  3. Step 3: Cross multiply
    358,151,976x = 779,360,319 × 779,360,319
  4. Step 4: Simplify right side
    358,151,976x = 607,402,506,831,781,760
  5. Step 5: Solve for x
    x = 607,402,506,831,781,760/358,151,976
  6. Step 6: Final answer
    x = 1,695,935,098.88

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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.