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Finding the Third Proportional to 336,292,866 and 473,368,095

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Solution

The third proportional to 336,292,866 and 473,368,095 is: 666,316,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,292,866 : 473,368,095 = 473,368,095 : x
  2. Step 2: Convert to fraction form
    336,292,866/473,368,095 = 473,368,095/x
  3. Step 3: Cross multiply
    336,292,866x = 473,368,095 × 473,368,095
  4. Step 4: Simplify right side
    336,292,866x = 224,077,353,363,929,024
  5. Step 5: Solve for x
    x = 224,077,353,363,929,024/336,292,866
  6. Step 6: Final answer
    x = 666,316,107.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.