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Finding the Third Proportional to 22,983,513,964 and 32,351,748,685

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Solution

The third proportional to 22,983,513,964 and 32,351,748,685 is: 45,538,538,824.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983,513,964 : 32,351,748,685 = 32,351,748,685 : x
  2. Step 2: Convert to fraction form
    22,983,513,964/32,351,748,685 = 32,351,748,685/x
  3. Step 3: Cross multiply
    22,983,513,964x = 32,351,748,685 × 32,351,748,685
  4. Step 4: Simplify right side
    22,983,513,964x = 1,046,635,642,977,399,209,984
  5. Step 5: Solve for x
    x = 1,046,635,642,977,399,209,984/22,983,513,964
  6. Step 6: Final answer
    x = 45,538,538,824.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.