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Finding the Third Proportional to 447,073,756,262 and 975,063,157,359

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Solution

The third proportional to 447,073,756,262 and 975,063,157,359 is: 2,126,602,484,538.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,073,756,262 : 975,063,157,359 = 975,063,157,359 : x
  2. Step 2: Convert to fraction form
    447,073,756,262/975,063,157,359 = 975,063,157,359/x
  3. Step 3: Cross multiply
    447,073,756,262x = 975,063,157,359 × 975,063,157,359
  4. Step 4: Simplify right side
    447,073,756,262x = 950,748,160,838,901,971,288,064
  5. Step 5: Solve for x
    x = 950,748,160,838,901,971,288,064/447,073,756,262
  6. Step 6: Final answer
    x = 2,126,602,484,538.89

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