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Finding the Third Proportional to 42,368,602,352 and 89,901,748,336

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Solution

The third proportional to 42,368,602,352 and 89,901,748,336 is: 190,762,118,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,368,602,352 : 89,901,748,336 = 89,901,748,336 : x
  2. Step 2: Convert to fraction form
    42,368,602,352/89,901,748,336 = 89,901,748,336/x
  3. Step 3: Cross multiply
    42,368,602,352x = 89,901,748,336 × 89,901,748,336
  4. Step 4: Simplify right side
    42,368,602,352x = 8,082,324,353,869,478,363,136
  5. Step 5: Solve for x
    x = 8,082,324,353,869,478,363,136/42,368,602,352
  6. Step 6: Final answer
    x = 190,762,118,767.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.