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Finding the Third Proportional to 698,372,532 and 971,031,292.50

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Solution

The third proportional to 698,372,532 and 971,031,292.50 is: 1,350,141,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,372,532 : 971,031,292.50 = 971,031,292.50 : x
  2. Step 2: Convert to fraction form
    698,372,532/971,031,292.50 = 971,031,292.50/x
  3. Step 3: Cross multiply
    698,372,532x = 971,031,292.50 × 971,031,292.50
  4. Step 4: Simplify right side
    698,372,532x = 942,901,771,014,220,544
  5. Step 5: Solve for x
    x = 942,901,771,014,220,544/698,372,532
  6. Step 6: Final answer
    x = 1,350,141,547.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.