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Finding the Third Proportional to 59,984,168,594 and 128,995,748,309

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Solution

The third proportional to 59,984,168,594 and 128,995,748,309 is: 277,404,913,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,984,168,594 : 128,995,748,309 = 128,995,748,309 : x
  2. Step 2: Convert to fraction form
    59,984,168,594/128,995,748,309 = 128,995,748,309/x
  3. Step 3: Cross multiply
    59,984,168,594x = 128,995,748,309 × 128,995,748,309
  4. Step 4: Simplify right side
    59,984,168,594x = 16,639,903,081,798,876,266,496
  5. Step 5: Solve for x
    x = 16,639,903,081,798,876,266,496/59,984,168,594
  6. Step 6: Final answer
    x = 277,404,913,193.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.