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Finding the Third Proportional to 21,073,829,369.63 and 45,506,461,658.63

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Solution

The third proportional to 21,073,829,369.63 and 45,506,461,658.63 is: 98,265,864,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,073,829,369.63 : 45,506,461,658.63 = 45,506,461,658.63 : x
  2. Step 2: Convert to fraction form
    21,073,829,369.63/45,506,461,658.63 = 45,506,461,658.63/x
  3. Step 3: Cross multiply
    21,073,829,369.63x = 45,506,461,658.63 × 45,506,461,658.63
  4. Step 4: Simplify right side
    21,073,829,369.63x = 2,070,838,052,687,907,127,296
  5. Step 5: Solve for x
    x = 2,070,838,052,687,907,127,296/21,073,829,369.63
  6. Step 6: Final answer
    x = 98,265,864,089.83

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