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Finding the Third Proportional to 31,582,766,663 and 70,226,989,174

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Solution

The third proportional to 31,582,766,663 and 70,226,989,174 is: 156,155,730,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,582,766,663 : 70,226,989,174 = 70,226,989,174 : x
  2. Step 2: Convert to fraction form
    31,582,766,663/70,226,989,174 = 70,226,989,174/x
  3. Step 3: Cross multiply
    31,582,766,663x = 70,226,989,174 × 70,226,989,174
  4. Step 4: Simplify right side
    31,582,766,663x = 4,931,830,008,445,112,680,448
  5. Step 5: Solve for x
    x = 4,931,830,008,445,112,680,448/31,582,766,663
  6. Step 6: Final answer
    x = 156,155,730,784.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.