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Finding the Third Proportional to 31,461,772,308 and 67,411,165,260

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Solution

The third proportional to 31,461,772,308 and 67,411,165,260 is: 144,437,673,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461,772,308 : 67,411,165,260 = 67,411,165,260 : x
  2. Step 2: Convert to fraction form
    31,461,772,308/67,411,165,260 = 67,411,165,260/x
  3. Step 3: Cross multiply
    31,461,772,308x = 67,411,165,260 × 67,411,165,260
  4. Step 4: Simplify right side
    31,461,772,308x = 4,544,265,201,711,030,730,752
  5. Step 5: Solve for x
    x = 4,544,265,201,711,030,730,752/31,461,772,308
  6. Step 6: Final answer
    x = 144,437,673,670.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.