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Finding the Third Proportional to 315,791,301 and 473,686,951.50

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Solution

The third proportional to 315,791,301 and 473,686,951.50 is: 710,530,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,791,301 : 473,686,951.50 = 473,686,951.50 : x
  2. Step 2: Convert to fraction form
    315,791,301/473,686,951.50 = 473,686,951.50/x
  3. Step 3: Cross multiply
    315,791,301x = 473,686,951.50 × 473,686,951.50
  4. Step 4: Simplify right side
    315,791,301x = 224,379,328,021,363,360
  5. Step 5: Solve for x
    x = 224,379,328,021,363,360/315,791,301
  6. Step 6: Final answer
    x = 710,530,427.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.