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Finding the Third Proportional to 711,535,258,698 and 1,083,974,748,585

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Solution

The third proportional to 711,535,258,698 and 1,083,974,748,585 is: 1,651,360,549,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,535,258,698 : 1,083,974,748,585 = 1,083,974,748,585 : x
  2. Step 2: Convert to fraction form
    711,535,258,698/1,083,974,748,585 = 1,083,974,748,585/x
  3. Step 3: Cross multiply
    711,535,258,698x = 1,083,974,748,585 × 1,083,974,748,585
  4. Step 4: Simplify right side
    711,535,258,698x = 1,175,001,255,569,913,949,454,336
  5. Step 5: Solve for x
    x = 1,175,001,255,569,913,949,454,336/711,535,258,698
  6. Step 6: Final answer
    x = 1,651,360,549,187.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.