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Finding the Third Proportional to 21,073,829,372 and 45,506,461,663

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Solution

The third proportional to 21,073,829,372 and 45,506,461,663 is: 98,265,864,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,073,829,372 : 45,506,461,663 = 45,506,461,663 : x
  2. Step 2: Convert to fraction form
    21,073,829,372/45,506,461,663 = 45,506,461,663/x
  3. Step 3: Cross multiply
    21,073,829,372x = 45,506,461,663 × 45,506,461,663
  4. Step 4: Simplify right side
    21,073,829,372x = 2,070,838,053,086,088,658,944
  5. Step 5: Solve for x
    x = 2,070,838,053,086,088,658,944/21,073,829,372
  6. Step 6: Final answer
    x = 98,265,864,097.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.