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Finding the Third Proportional to 32,312,523,464.50 and 70,712,018,047

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Solution

The third proportional to 32,312,523,464.50 and 70,712,018,047 is: 154,744,630,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,312,523,464.50 : 70,712,018,047 = 70,712,018,047 : x
  2. Step 2: Convert to fraction form
    32,312,523,464.50/70,712,018,047 = 70,712,018,047/x
  3. Step 3: Cross multiply
    32,312,523,464.50x = 70,712,018,047 × 70,712,018,047
  4. Step 4: Simplify right side
    32,312,523,464.50x = 5,000,189,496,279,253,909,504
  5. Step 5: Solve for x
    x = 5,000,189,496,279,253,909,504/32,312,523,464.50
  6. Step 6: Final answer
    x = 154,744,630,259.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.