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Finding the Third Proportional to 7,495,571,144,790 and 16,321,827,068,910

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Solution

The third proportional to 7,495,571,144,790 and 16,321,827,068,910 is: 35,541,259,461,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495,571,144,790 : 16,321,827,068,910 = 16,321,827,068,910 : x
  2. Step 2: Convert to fraction form
    7,495,571,144,790/16,321,827,068,910 = 16,321,827,068,910/x
  3. Step 3: Cross multiply
    7,495,571,144,790x = 16,321,827,068,910 × 16,321,827,068,910
  4. Step 4: Simplify right side
    7,495,571,144,790x = 266,402,038,867,403,195,316,961,280
  5. Step 5: Solve for x
    x = 266,402,038,867,403,195,316,961,280/7,495,571,144,790
  6. Step 6: Final answer
    x = 35,541,259,461,271.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.