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Finding the Third Proportional to 358,151,960 and 779,360,264

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Solution

The third proportional to 358,151,960 and 779,360,264 is: 1,695,934,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,151,960 : 779,360,264 = 779,360,264 : x
  2. Step 2: Convert to fraction form
    358,151,960/779,360,264 = 779,360,264/x
  3. Step 3: Cross multiply
    358,151,960x = 779,360,264 × 779,360,264
  4. Step 4: Simplify right side
    358,151,960x = 607,402,421,102,149,632
  5. Step 5: Solve for x
    x = 607,402,421,102,149,632/358,151,960
  6. Step 6: Final answer
    x = 1,695,934,935.28

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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.